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A201547 Number of ways to place 9 nonattacking wazirs on an n X n toroidal board. 1

%I #9 Sep 12 2015 11:00:28

%S 0,0,0,0,250,480916,54916456,1962132800,34690541994,385983794500,

%T 3095143575007,19437996015280,100963195651565,450398154002132,

%U 1773257833600750,6288010190509312,20398342362118678,61282868654684052,172190699515632837,456120623076014000

%N Number of ways to place 9 nonattacking wazirs on an n X n toroidal board.

%C Wazir is a leaper [0,1].

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>

%F 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.

%F 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.

%Y Cf. A201236, A201237, A201238, A201239, A201240, A201241, A201242, A201510.

%K nonn

%O 1,5

%A _Vaclav Kotesovec_, Dec 02 2011

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Last modified March 29 04:59 EDT 2024. Contains 371264 sequences. (Running on oeis4.)