Identifier
Identifier
Values
[] generating graphics... => 1
[1] generating graphics... => 2
[2] generating graphics... => 3
[1,1] generating graphics... => 3
[3] generating graphics... => 4
[2,1] generating graphics... => 5
[1,1,1] generating graphics... => 4
[4] generating graphics... => 5
[3,1] generating graphics... => 7
[2,2] generating graphics... => 7
[2,1,1] generating graphics... => 7
[1,1,1,1] generating graphics... => 5
[5] generating graphics... => 6
[4,1] generating graphics... => 9
[3,2] generating graphics... => 10
[3,1,1] generating graphics... => 10
[2,2,1] generating graphics... => 10
[2,1,1,1] generating graphics... => 9
[1,1,1,1,1] generating graphics... => 6
[6] generating graphics... => 7
[5,1] generating graphics... => 11
[4,2] generating graphics... => 13
[4,1,1] generating graphics... => 13
[3,3] generating graphics... => 13
[3,2,1] generating graphics... => 15
[3,1,1,1] generating graphics... => 13
[2,2,2] generating graphics... => 13
[2,2,1,1] generating graphics... => 13
[2,1,1,1,1] generating graphics... => 11
[1,1,1,1,1,1] generating graphics... => 7
[7] generating graphics... => 8
[6,1] generating graphics... => 13
[5,2] generating graphics... => 16
[5,1,1] generating graphics... => 16
[4,3] generating graphics... => 17
[4,2,1] generating graphics... => 20
[4,1,1,1] generating graphics... => 17
[3,3,1] generating graphics... => 20
[3,2,2] generating graphics... => 20
[3,2,1,1] generating graphics... => 20
[3,1,1,1,1] generating graphics... => 16
[2,2,2,1] generating graphics... => 17
[2,2,1,1,1] generating graphics... => 16
[2,1,1,1,1,1] generating graphics... => 13
[1,1,1,1,1,1,1] generating graphics... => 8
[8] generating graphics... => 9
[7,1] generating graphics... => 15
[6,2] generating graphics... => 19
[6,1,1] generating graphics... => 19
[5,3] generating graphics... => 21
[5,2,1] generating graphics... => 25
[5,1,1,1] generating graphics... => 21
[4,4] generating graphics... => 21
[4,3,1] generating graphics... => 27
[4,2,2] generating graphics... => 27
[4,2,1,1] generating graphics... => 27
[4,1,1,1,1] generating graphics... => 21
[3,3,2] generating graphics... => 27
[3,3,1,1] generating graphics... => 27
[3,2,2,1] generating graphics... => 27
[3,2,1,1,1] generating graphics... => 25
[3,1,1,1,1,1] generating graphics... => 19
[2,2,2,2] generating graphics... => 21
[2,2,2,1,1] generating graphics... => 21
[2,2,1,1,1,1] generating graphics... => 19
[2,1,1,1,1,1,1] generating graphics... => 15
[1,1,1,1,1,1,1,1] generating graphics... => 9
[9] generating graphics... => 10
[8,1] generating graphics... => 17
[7,2] generating graphics... => 22
[7,1,1] generating graphics... => 22
[6,3] generating graphics... => 25
[6,2,1] generating graphics... => 30
[6,1,1,1] generating graphics... => 25
[5,4] generating graphics... => 26
[5,3,1] generating graphics... => 34
[5,2,2] generating graphics... => 34
[5,2,1,1] generating graphics... => 34
[5,1,1,1,1] generating graphics... => 26
[4,4,1] generating graphics... => 34
[4,3,2] generating graphics... => 37
[4,3,1,1] generating graphics... => 37
[4,2,2,1] generating graphics... => 37
[4,2,1,1,1] generating graphics... => 34
[4,1,1,1,1,1] generating graphics... => 25
[3,3,3] generating graphics... => 34
[3,3,2,1] generating graphics... => 37
[3,3,1,1,1] generating graphics... => 34
[3,2,2,2] generating graphics... => 34
[3,2,2,1,1] generating graphics... => 34
[3,2,1,1,1,1] generating graphics... => 30
[3,1,1,1,1,1,1] generating graphics... => 22
[2,2,2,2,1] generating graphics... => 26
[2,2,2,1,1,1] generating graphics... => 25
[2,2,1,1,1,1,1] generating graphics... => 22
[2,1,1,1,1,1,1,1] generating graphics... => 17
[1,1,1,1,1,1,1,1,1] generating graphics... => 10
[10] generating graphics... => 11
[9,1] generating graphics... => 19
[8,2] generating graphics... => 25
[8,1,1] generating graphics... => 25
[7,3] generating graphics... => 29
[7,2,1] generating graphics... => 35
[7,1,1,1] generating graphics... => 29
[6,4] generating graphics... => 31
[6,3,1] generating graphics... => 41
[6,2,2] generating graphics... => 41
[6,2,1,1] generating graphics... => 41
[6,1,1,1,1] generating graphics... => 31
[5,5] generating graphics... => 31
[5,4,1] generating graphics... => 43
[5,3,2] generating graphics... => 47
[5,3,1,1] generating graphics... => 47
[5,2,2,1] generating graphics... => 47
[5,2,1,1,1] generating graphics... => 43
[5,1,1,1,1,1] generating graphics... => 31
[4,4,2] generating graphics... => 47
[4,4,1,1] generating graphics... => 47
[4,3,3] generating graphics... => 47
[4,3,2,1] generating graphics... => 52
[4,3,1,1,1] generating graphics... => 47
[4,2,2,2] generating graphics... => 47
[4,2,2,1,1] generating graphics... => 47
[4,2,1,1,1,1] generating graphics... => 41
[4,1,1,1,1,1,1] generating graphics... => 29
[3,3,3,1] generating graphics... => 47
[3,3,2,2] generating graphics... => 47
[3,3,2,1,1] generating graphics... => 47
[3,3,1,1,1,1] generating graphics... => 41
[3,2,2,2,1] generating graphics... => 43
[3,2,2,1,1,1] generating graphics... => 41
[3,2,1,1,1,1,1] generating graphics... => 35
[3,1,1,1,1,1,1,1] generating graphics... => 25
[2,2,2,2,2] generating graphics... => 31
[2,2,2,2,1,1] generating graphics... => 31
[2,2,2,1,1,1,1] generating graphics... => 29
[2,2,1,1,1,1,1,1] generating graphics... => 25
[2,1,1,1,1,1,1,1,1] generating graphics... => 19
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[11] generating graphics... => 12
[10,1] generating graphics... => 21
[9,2] generating graphics... => 28
[9,1,1] generating graphics... => 28
[8,3] generating graphics... => 33
[8,2,1] generating graphics... => 40
[8,1,1,1] generating graphics... => 33
[7,4] generating graphics... => 36
[7,3,1] generating graphics... => 48
[7,2,2] generating graphics... => 48
[7,2,1,1] generating graphics... => 48
[7,1,1,1,1] generating graphics... => 36
[6,5] generating graphics... => 37
[6,4,1] generating graphics... => 52
[6,3,2] generating graphics... => 57
[6,3,1,1] generating graphics... => 57
[6,2,2,1] generating graphics... => 57
[6,2,1,1,1] generating graphics... => 52
[6,1,1,1,1,1] generating graphics... => 37
[5,5,1] generating graphics... => 52
[5,4,2] generating graphics... => 60
[5,4,1,1] generating graphics... => 60
[5,3,3] generating graphics... => 60
[5,3,2,1] generating graphics... => 67
[5,3,1,1,1] generating graphics... => 60
[5,2,2,2] generating graphics... => 60
[5,2,2,1,1] generating graphics... => 60
[5,2,1,1,1,1] generating graphics... => 52
[5,1,1,1,1,1,1] generating graphics... => 36
[4,4,3] generating graphics... => 60
[4,4,2,1] generating graphics... => 67
[4,4,1,1,1] generating graphics... => 60
[4,3,3,1] generating graphics... => 67
[4,3,2,2] generating graphics... => 67
[4,3,2,1,1] generating graphics... => 67
[4,3,1,1,1,1] generating graphics... => 57
[4,2,2,2,1] generating graphics... => 60
[4,2,2,1,1,1] generating graphics... => 57
[4,2,1,1,1,1,1] generating graphics... => 48
[4,1,1,1,1,1,1,1] generating graphics... => 33
[3,3,3,2] generating graphics... => 60
[3,3,3,1,1] generating graphics... => 60
[3,3,2,2,1] generating graphics... => 60
[3,3,2,1,1,1] generating graphics... => 57
[3,3,1,1,1,1,1] generating graphics... => 48
[3,2,2,2,2] generating graphics... => 52
[3,2,2,2,1,1] generating graphics... => 52
[3,2,2,1,1,1,1] generating graphics... => 48
[3,2,1,1,1,1,1,1] generating graphics... => 40
[3,1,1,1,1,1,1,1,1] generating graphics... => 28
[2,2,2,2,2,1] generating graphics... => 37
[2,2,2,2,1,1,1] generating graphics... => 36
[2,2,2,1,1,1,1,1] generating graphics... => 33
[2,2,1,1,1,1,1,1,1] generating graphics... => 28
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 21
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 12
[12] generating graphics... => 13
[11,1] generating graphics... => 23
[10,2] generating graphics... => 31
[10,1,1] generating graphics... => 31
[9,3] generating graphics... => 37
[9,2,1] generating graphics... => 45
[9,1,1,1] generating graphics... => 37
[8,4] generating graphics... => 41
[8,3,1] generating graphics... => 55
[8,2,2] generating graphics... => 55
[8,2,1,1] generating graphics... => 55
[8,1,1,1,1] generating graphics... => 41
[7,5] generating graphics... => 43
[7,4,1] generating graphics... => 61
[7,3,2] generating graphics... => 67
[7,3,1,1] generating graphics... => 67
[7,2,2,1] generating graphics... => 67
[7,2,1,1,1] generating graphics... => 61
[7,1,1,1,1,1] generating graphics... => 43
[6,6] generating graphics... => 43
[6,5,1] generating graphics... => 63
[6,4,2] generating graphics... => 73
[6,4,1,1] generating graphics... => 73
[6,3,3] generating graphics... => 73
[6,3,2,1] generating graphics... => 82
[6,3,1,1,1] generating graphics... => 73
[6,2,2,2] generating graphics... => 73
[6,2,2,1,1] generating graphics... => 73
[6,2,1,1,1,1] generating graphics... => 63
[6,1,1,1,1,1,1] generating graphics... => 43
[5,5,2] generating graphics... => 73
[5,5,1,1] generating graphics... => 73
[5,4,3] generating graphics... => 77
[5,4,2,1] generating graphics... => 87
[5,4,1,1,1] generating graphics... => 77
[5,3,3,1] generating graphics... => 87
[5,3,2,2] generating graphics... => 87
[5,3,2,1,1] generating graphics... => 87
[5,3,1,1,1,1] generating graphics... => 73
[5,2,2,2,1] generating graphics... => 77
[5,2,2,1,1,1] generating graphics... => 73
[5,2,1,1,1,1,1] generating graphics... => 61
[5,1,1,1,1,1,1,1] generating graphics... => 41
[4,4,4] generating graphics... => 73
[4,4,3,1] generating graphics... => 87
[4,4,2,2] generating graphics... => 87
[4,4,2,1,1] generating graphics... => 87
[4,4,1,1,1,1] generating graphics... => 73
[4,3,3,2] generating graphics... => 87
[4,3,3,1,1] generating graphics... => 87
[4,3,2,2,1] generating graphics... => 87
[4,3,2,1,1,1] generating graphics... => 82
[4,3,1,1,1,1,1] generating graphics... => 67
[4,2,2,2,2] generating graphics... => 73
[4,2,2,2,1,1] generating graphics... => 73
[4,2,2,1,1,1,1] generating graphics... => 67
[4,2,1,1,1,1,1,1] generating graphics... => 55
[4,1,1,1,1,1,1,1,1] generating graphics... => 37
[3,3,3,3] generating graphics... => 73
[3,3,3,2,1] generating graphics... => 77
[3,3,3,1,1,1] generating graphics... => 73
[3,3,2,2,2] generating graphics... => 73
[3,3,2,2,1,1] generating graphics... => 73
[3,3,2,1,1,1,1] generating graphics... => 67
[3,3,1,1,1,1,1,1] generating graphics... => 55
[3,2,2,2,2,1] generating graphics... => 63
[3,2,2,2,1,1,1] generating graphics... => 61
[3,2,2,1,1,1,1,1] generating graphics... => 55
[3,2,1,1,1,1,1,1,1] generating graphics... => 45
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 31
[2,2,2,2,2,2] generating graphics... => 43
[2,2,2,2,2,1,1] generating graphics... => 43
[2,2,2,2,1,1,1,1] generating graphics... => 41
[2,2,2,1,1,1,1,1,1] generating graphics... => 37
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 31
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 23
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 13
[5,4,3,1] generating graphics... => 114
[5,4,2,2] generating graphics... => 114
[5,4,2,1,1] generating graphics... => 114
[5,3,3,2] generating graphics... => 114
[5,3,3,1,1] generating graphics... => 114
[5,3,2,2,1] generating graphics... => 114
[4,4,3,2] generating graphics... => 114
[4,4,3,1,1] generating graphics... => 114
[4,4,2,2,1] generating graphics... => 114
[4,3,3,2,1] generating graphics... => 114
[5,4,3,2] generating graphics... => 151
[5,4,3,1,1] generating graphics... => 151
[5,4,2,2,1] generating graphics... => 151
[5,3,3,2,1] generating graphics... => 151
[4,4,3,2,1] generating graphics... => 151
[5,4,3,2,1] generating graphics... => 203
click to show generating function       
Description
The total number of rook placements on a Ferrers board.
References
Code
def statistic(la):
    return sum(matrix([[1]*p + [0]*(la[0]-p) for p in la]).rook_vector())

Created
Jun 10, 2016 at 23:59 by Martin Rubey
Updated
Apr 26, 2018 at 07:39 by Martin Rubey