A344947 Number of open tours by a biased rook on a specific A070941(n) X 1 board, which ends on a black cell, where cells are colored white or black according to the binary representation of 2n.

1, 1, 1, 4, 1, 4, 8, 18, 1, 4, 8, 18, 16, 36, 54, 96, 1, 4, 8, 18, 16, 36, 54, 96, 32, 72, 108, 192, 162, 288, 384, 600, 1, 4, 8, 18, 16, 36, 54, 96, 32, 72, 108, 192, 162, 288, 384, 600, 64, 144, 216, 384, 324, 576, 768, 1200, 486, 864, 1152, 1800, 1536, 2400

Offset: 0

Author

Mikhail Kurkov, Jun 03 2021 [verification needed]

Keywords

• nonn

Comments

A cell is colored white if the binary digit is 0 and a cell is colored black if the binary digit is 1. A biased rook on a white cell moves only to the left and otherwise moves in any direction.

Crossrefs

Cf. A053645, A070941, A284005, A329369, A329718.

Formula

a(n) = A284005(2*A053645(n)) for n > 0 with a(0) = 1.