A195652 Number of ways to place 8n nonattacking kings on a 16 X 2n cylindrical chessboard.

2304, 9476, 47058, 259372, 1536814, 9643562, 63558566, 437500380, 3130270224, 23174548666, 176740657340, 1382652697282, 11052082053262, 89954475408222, 743275585245898, 6219118726337532, 52583297643941856, 448492643088144992, 3853319870967662784

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 = 16, number of rows = 2n).

Links

• Alex V. Breger, Table of n, a(n) for n = 1..1000
• 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 208.

Crossrefs

Cf. A137432, A174558, A195657.

Formula

Recurrence order is 208.