A195655 Number of ways to place 11n nonattacking kings on a 22 X 2n cylindrical chessboard.

24576, 106500, 565512, 3392964, 22327496, 158877948, 1212120160, 9849731140, 84719304384, 766319864440, 7241521734020, 71028444904044, 718816489322444, 7466044767879028, 79230397598482712, 855840660674700612, 9381236750764316676, 104090420921618696952

Offset: 1

Author

Vaclav Kotesovec, Sep 22 2011

Keywords

• nonn

Comments

This cylinder is horizontal: a chessboard where it is supposed that rows 1 and 2n are in contact (number of columns = 22, number of rows = 2n).

Links

• Alex V. Breger, Table of n, a(n) for n = 1..500
• Artem M. Karavaev, Zealint blog (in Russian)
• V. Kotesovec, Non-attacking chess pieces
• Max A. Alekseyev, Denominator of the generating function
• Vaclav Kotesovec, Generating function
• Index entries for linear recurrences with constant coefficients, order 1829.

Crossrefs

Cf. A137432, A195653, A195654, A195650, A195660.

Formula

Recurrence order is 1829.