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A201547
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Number of ways to place 9 nonattacking wazirs on an n X n toroidal board.
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1
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0, 0, 0, 0, 250, 480916, 54916456, 1962132800, 34690541994, 385983794500, 3095143575007, 19437996015280, 100963195651565, 450398154002132, 1773257833600750, 6288010190509312, 20398342362118678, 61282868654684052, 172190699515632837, 456120623076014000
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OFFSET
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1,5
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COMMENTS
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Wazir is a leaper [0,1].
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LINKS
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FORMULA
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Explicit formula: n^18/362880 - n^16/2016 + 349*n^14/8640 - 467*n^12/240 + 1049629*n^10/17280 - 121049*n^8/96 + 1546301783*n^6/90720 - 346878319*n^4/2520 + 4595485*n^2/9, n>=10.
G.f.: -x^5*(18*x^23 - 854*x^22 + 15942*x^21 - 168082*x^20 + 1174353*x^19 - 5878707*x^18 + 22139332*x^17 - 65539648*x^16 + 159915785*x^15 - 334575275*x^14 + 598795512*x^13 - 842713520*x^12 + 703597341*x^11 + 289921121*x^10 - 2021527454*x^9 + 3166171570*x^8 - 1944444195*x^7 - 501647511*x^6 + 11035282966*x^5 + 6335694166*x^4 + 1000714522*x^3 + 45821802*x^2 + 476166*x + 250)/(x-1)^19.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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