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A139329 a(n) = (factorial of the number of 0's in the binary expansion of n). 3
1, 1, 1, 1, 2, 1, 1, 1, 6, 2, 2, 1, 2, 1, 1, 1, 24, 6, 6, 2, 6, 2, 2, 1, 6, 2, 2, 1, 2, 1, 1, 1, 120, 24, 24, 6, 24, 6, 6, 2, 24, 6, 6, 2, 6, 2, 2, 1, 24, 6, 6, 2, 6, 2, 2, 1, 6, 2, 2, 1, 2, 1, 1, 1, 720, 120, 120, 24, 120, 24, 24, 6, 120, 24, 24, 6, 24, 6, 6, 2, 120, 24, 24, 6, 24, 6, 6, 2, 24, 6, 6, 2, 6, 2, 2, 1, 120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Number of permutation symmetries of the 0's in the binary expansion of n. Consider the symmetric group that permutes floor(log_2(n)) elements acting on the 0's.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8191

Index entries for sequences related to binary expansion of n

FORMULA

a(n) = A000142(A023416(n)) = A000142(A080791(n)). - Antti Karttunen, Oct 24 2017

PROG

(PARI) a(n) = (#binary(n)-hammingweight(n))!; \\ Michel Marcus, Oct 24 2017

CROSSREFS

Cf. A000142, A023416, A080791, A093659 (factorial of the number of 1's in binary expansion of n).

Sequence in context: A294875 A293902 A300830 * A335432 A229557 A332700

Adjacent sequences:  A139326 A139327 A139328 * A139330 A139331 A139332

KEYWORD

base,easy,nonn

AUTHOR

Max Sills, Apr 13 2008

EXTENSIONS

Locations of the name and the formula changed, more terms from Antti Karttunen, Oct 24 2017

STATUS

approved

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Last modified September 24 23:43 EDT 2022. Contains 356951 sequences. (Running on oeis4.)