A195656 Number of ways to place 12n nonattacking kings on a 24 X 2n cylindrical chessboard.

53248, 233476, 1257754, 7682812, 51698178, 378088270, 2980927200, 25173962492, 226268016376, 2149806985106, 21437333168798, 222770819826574, 2396574908171782, 26535227773186536, 300870737118178194, 3479000496509382748, 40885324678195409820

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 = 24, number of rows = 2n).

Links

• Alex V. Breger, Table of n, a(n) for n = 1..500
• Max A. Alekseyev, Denominator of the generating function
• Artem M. Karavaev, Zealint blog (in Russian)
• V. Kotesovec, Non-attacking chess pieces
• Vaclav Kotesovec, Generating function
• Index entries for linear recurrences with constant coefficients, order 4248.

Crossrefs

Cf. A137432, A195653, A195654, A195655, A195651, A195661.

Formula

Recurrence order is 4248.