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

1,1

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.

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

Sequence in context: A340335 A011835 A198946 * A270348 A270580 A103084

Adjacent sequences: A212267 A212268 A212269 * A212271 A212272 A212273

Keyword

nonn,hard

Author

Vaclav Kotesovec, May 12 2012

Status

approved