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

1,1

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.

Formula

Recurrence order is 4248.

Crossrefs

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

Sequence in context: A155557 A015315 A061330 * A195651 A294752 A164519

Adjacent sequences: A195653 A195654 A195655 * A195657 A195658 A195659

Keyword

nonn

Author

Vaclav Kotesovec, Sep 22 2011

Status

approved