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

0,4

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.

Links

Table of n, a(n) for n=0..61.

Formula

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

Crossrefs

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

Sequence in context: A162956 A131112 A141225 * A079185 A133819 A344686

Adjacent sequences: A344944 A344945 A344946 * A344948 A344949 A344950

Keyword

nonn

Author

Mikhail Kurkov, Jun 03 2021 [verification needed]

Status

approved