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A344902 Number of open tours by a biased rook on a specific f(n) X 1 board, where f(n) = A070941(n) and cells are colored white or black according to the binary representation of 2n. 2
1, 2, 4, 6, 8, 18, 18, 24, 16, 54, 54, 96, 54, 96, 96, 120, 32, 162, 162, 384, 162, 384, 384, 600, 162, 384, 384, 600, 384, 600, 600, 720, 64, 486, 486, 1536, 486, 1536, 1536, 3000, 486, 1536, 1536, 3000, 1536, 3000, 3000, 4320, 486, 1536, 1536, 3000, 1536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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 to the left to any cell or to the right only to a black cell. A biased rook on a black cell moves in any direction.

LINKS

Table of n, a(n) for n=0..52.

FORMULA

a(n) = A000120(n)!*(1 + A000120(n))^(A023416(n) + 1) for n > 0 with a(0)=1.

a(2n) = (1 + A000120(n))*a(n) for n > 0 with a(0)=1.

CROSSREFS

Cf. A000120, A023416, A284005, A329369, A329718.

Sequence in context: A100055 A334031 A304660 * A104001 A048784 A152491

Adjacent sequences:  A344898 A344899 A344901 * A344903 A344904 A344905

KEYWORD

nonn

AUTHOR

Mikhail Kurkov, Jun 01 2021

STATUS

approved

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Last modified July 28 23:07 EDT 2021. Contains 346340 sequences. (Running on oeis4.)