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A159913 2^(A000120(n)+1)-1, where A000120(n) = number of nonzero bits in n. +0
4
1, 3, 3, 7, 3, 7, 7, 15, 3, 7, 7, 15, 7, 15, 15, 31, 3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63, 3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63, 7, 15, 15, 31, 15, 31, 31, 63, 15, 31, 31, 63, 31, 63, 63, 127, 3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31 (list; graph; listen)
OFFSET

0,2

COMMENT

Essentially the same sequence as A117973 and A001316. The latter entry has much more information. - N. J. A. Sloane, Jun 05 2009

First differences of A159912; every other term of A038573.

Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 16 2009: (Start)

Equals Sierpinski's gasket, A047999; as an infinite lower triangular matrix

* [1,2,2,2,...] as a vector. (End)

FORMULA

a(n) = 2^A000120(2n+1)-1 = A038573(2n+1) = 2 A038573(n)+1 = A159912(n+1) - A159912(n)

PROGRAM

(PARI) A159913(n)=2<<norml2(binary(n))-1

CROSSREFS

Rows of triangle in A038573 converge to this sequence. - N. J. A. Sloane, Jun 05 2009

Cf. A000120, A038573, A159912, A117973, A001316.

A047999 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 16 2009]

Sequence in context: A096915 A100803 A036840 this_sequence A030316 A034257 A145501

Adjacent sequences: A159910 A159911 A159912 this_sequence A159914 A159915 A159916

KEYWORD

nonn

AUTHOR

M. F. Hasler (MHasler(AT)univ-ag.fr), May 03 2009

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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