A212270 - OEIS

A212270

Number of ways to place k non-attacking wazirs on an n x n cylindrical chessboard, summed over all k >= 0.

2, 7, 43, 933, 36211, 3557711, 746156517, 363549830913, 394677987525997, 974602314570939359, 5418730454986467701985, 68176187476467835406646029, 1936241516342334422813929891295, 124281423643836238320564876791634465, 18018270577720149773239661332878801006033

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Wazir is a leaper [0,1].

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..32

V. Kotesovec, Non-attacking chess pieces, 6ed, 2013, p.414

FORMULA

Limit n ->infinity (a(n))^(1/n^2) is the hard square entropy constant A085850.

CROSSREFS

Main diagonal of A286513.