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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>1 [1,1,0,0]=>1 [1,0,1,0,1,0]=>1 [1,0,1,1,0,0]=>1 [1,1,0,0,1,0]=>1 [1,1,0,1,0,0]=>2 [1,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0]=>5 [1,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,0]=>7 [1,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,1,1,1,0,0,0,0]=>7 [1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,0]=>14 [1,1,0,1,0,1,1,0,0,0]=>14 [1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0]=>14 [1,1,0,1,1,0,1,0,0,0]=>21 [1,1,0,1,1,1,0,0,0,0]=>21 [1,1,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,0]=>14 [1,1,1,0,0,1,1,0,0,0]=>14 [1,1,1,0,1,0,0,0,1,0]=>7 [1,1,1,0,1,0,0,1,0,0]=>21 [1,1,1,0,1,0,1,0,0,0]=>35 [1,1,1,0,1,1,0,0,0,0]=>35 [1,1,1,1,0,0,0,0,1,0]=>7 [1,1,1,1,0,0,0,1,0,0]=>21 [1,1,1,1,0,0,1,0,0,0]=>35 [1,1,1,1,0,1,0,0,0,0]=>42 [1,1,1,1,1,0,0,0,0,0]=>42 [1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0]=>14 [1,0,1,1,0,1,0,1,1,0,0,0]=>14 [1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0]=>14 [1,0,1,1,0,1,1,0,1,0,0,0]=>21 [1,0,1,1,0,1,1,1,0,0,0,0]=>21 [1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0]=>14 [1,0,1,1,1,0,0,1,1,0,0,0]=>14 [1,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,1,0,0]=>21 [1,0,1,1,1,0,1,0,1,0,0,0]=>35 [1,0,1,1,1,0,1,1,0,0,0,0]=>35 [1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,0,1,0,0]=>21 [1,0,1,1,1,1,0,0,1,0,0,0]=>35 [1,0,1,1,1,1,0,1,0,0,0,0]=>42 [1,0,1,1,1,1,1,0,0,0,0,0]=>42 [1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,1,0,0,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,0]=>7 [1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0]=>14 [1,1,0,1,0,1,0,1,0,1,0,0]=>42 [1,1,0,1,0,1,0,1,1,0,0,0]=>42 [1,1,0,1,0,1,1,0,0,0,1,0]=>14 [1,1,0,1,0,1,1,0,0,1,0,0]=>42 [1,1,0,1,0,1,1,0,1,0,0,0]=>65 [1,1,0,1,0,1,1,1,0,0,0,0]=>65 [1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,0,1,0]=>14 [1,1,0,1,1,0,0,1,0,1,0,0]=>42 [1,1,0,1,1,0,0,1,1,0,0,0]=>42 [1,1,0,1,1,0,1,0,0,0,1,0]=>21 [1,1,0,1,1,0,1,0,0,1,0,0]=>68 [1,1,0,1,1,0,1,0,1,0,0,0]=>119 [1,1,0,1,1,0,1,1,0,0,0,0]=>119 [1,1,0,1,1,1,0,0,0,0,1,0]=>21 [1,1,0,1,1,1,0,0,0,1,0,0]=>68 [1,1,0,1,1,1,0,0,1,0,0,0]=>119 [1,1,0,1,1,1,0,1,0,0,0,0]=>147 [1,1,0,1,1,1,1,0,0,0,0,0]=>147 [1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,0,1,0]=>14 [1,1,1,0,0,1,0,1,0,1,0,0]=>42 [1,1,1,0,0,1,0,1,1,0,0,0]=>42 [1,1,1,0,0,1,1,0,0,0,1,0]=>14 [1,1,1,0,0,1,1,0,0,1,0,0]=>42 [1,1,1,0,0,1,1,0,1,0,0,0]=>65 [1,1,1,0,0,1,1,1,0,0,0,0]=>65 [1,1,1,0,1,0,0,0,1,0,1,0]=>7 [1,1,1,0,1,0,0,0,1,1,0,0]=>7 [1,1,1,0,1,0,0,1,0,0,1,0]=>21 [1,1,1,0,1,0,0,1,0,1,0,0]=>65 [1,1,1,0,1,0,0,1,1,0,0,0]=>65 [1,1,1,0,1,0,1,0,0,0,1,0]=>35 [1,1,1,0,1,0,1,0,0,1,0,0]=>119 [1,1,1,0,1,0,1,0,1,0,0,0]=>219 [1,1,1,0,1,0,1,1,0,0,0,0]=>219 [1,1,1,0,1,1,0,0,0,0,1,0]=>35 [1,1,1,0,1,1,0,0,0,1,0,0]=>119 [1,1,1,0,1,1,0,0,1,0,0,0]=>219 [1,1,1,0,1,1,0,1,0,0,0,0]=>282 [1,1,1,0,1,1,1,0,0,0,0,0]=>282 [1,1,1,1,0,0,0,0,1,0,1,0]=>7 [1,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>21 [1,1,1,1,0,0,0,1,0,1,0,0]=>65 [1,1,1,1,0,0,0,1,1,0,0,0]=>65 [1,1,1,1,0,0,1,0,0,0,1,0]=>35 [1,1,1,1,0,0,1,0,0,1,0,0]=>119 [1,1,1,1,0,0,1,0,1,0,0,0]=>219 [1,1,1,1,0,0,1,1,0,0,0,0]=>219 [1,1,1,1,0,1,0,0,0,0,1,0]=>42 [1,1,1,1,0,1,0,0,0,1,0,0]=>147 [1,1,1,1,0,1,0,0,1,0,0,0]=>282 [1,1,1,1,0,1,0,1,0,0,0,0]=>387 [1,1,1,1,0,1,1,0,0,0,0,0]=>387 [1,1,1,1,1,0,0,0,0,0,1,0]=>42 [1,1,1,1,1,0,0,0,0,1,0,0]=>147 [1,1,1,1,1,0,0,0,1,0,0,0]=>282 [1,1,1,1,1,0,0,1,0,0,0,0]=>387 [1,1,1,1,1,0,1,0,0,0,0,0]=>429 [1,1,1,1,1,1,0,0,0,0,0,0]=>429 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>14 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>14 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>21 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>21 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>14 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>14 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>21 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>35 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>35 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>21 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>35 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>42 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>42 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>7 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>14 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>42 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>42 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>14 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>42 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>65 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>65 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>14 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>42 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>42 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>21 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>68 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>119 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>119 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>21 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>68 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>119 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>147 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>147 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>14 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>42 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>42 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>14 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>42 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>65 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>65 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>21
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Description
The number of alternating sign matrices for a given Dyck path.
The Dyck path is given by the last diagonal of the monotone triangle corresponding to an alternating sign matrix.
Code
def statistic(self):
    return sum( 1 for a in AlternatingSignMatrices(len(list(self))/2) if a.to_dyck_word(algorithm = 'last_diagonal') == self )
Created
Jun 11, 2013 at 21:17 by Jessica Striker
Updated
Mar 12, 2026 at 18:10 by Nupur Jain