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

Offset: 1

Author

Vaclav Kotesovec, May 12 2012

Keywords

• nonn
• hard

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

Crossrefs

Main diagonal of A286513.

Cf. A006506, A027683, A182407, A212269, A212271.

Formula

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