A201239 - OEIS

A201239

Number of ways to place 5 non-attacking wazirs on an n X n toroidal board.

0, 0, 0, 128, 6745, 100332, 754453, 3830016, 15038541, 49207020, 140410699, 360001152, 846775007, 1855033964, 3828109545, 7507096576, 14087087961, 25436160108, 44395753647, 75184958080, 123935571963, 199389702380, 313797119069, 484055619840, 733144325125

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OFFSET

1,4

COMMENTS

Wazir is a leaper [0,1].

LINKS

Table of n, a(n) for n=1..25.

V. Kotesovec, Non-attacking chess pieces, 6ed, p.402

FORMULA

a(n) = n^2*(n^8 - 50n^6 + 995n^4 - 9370n^2 + 35424)/120, n>=6.

G.f.: -x^4 * (10x^12 - 110x^11 + 685x^10 - 2771x^9 + 6946x^8 - 9350x^7 + 1710x^6 + 15214x^5 - 21392x^4 + 656x^3 + 33177x^2 + 5337x + 128)/(x-1)^11.

CROSSREFS