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

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

Cf. A172228, A201236, A201237, A201238, A201240, A201241, A201242.

Sequence in context: A185488 A283690 A008791 * A013700 A232995 A283281

Adjacent sequences: A201236 A201237 A201238 * A201240 A201241 A201242

Keyword

nonn

Author

Vaclav Kotesovec, Nov 28 2011

Status

approved