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

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