The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A079523 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A079523

Utterly odd numbers: numbers whose binary representation ends in an odd number of ones.
(history; published version)

#80 by Michael De Vlieger at Sat Jul 09 11:06:50 EDT 2022

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reviewed

approved

#79 by Michel Marcus at Sat Jul 09 10:43:32 EDT 2022

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proposed

reviewed

#78 by Chai Wah Wu at Sat Jul 09 10:08:16 EDT 2022

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editing

proposed

#77 by Chai Wah Wu at Sat Jul 09 10:08:05 EDT 2022

PROG

A079523_list = list(islice(A079523_gen(), 30)) # Chai Wah Wu, Jul 05 2022

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approved

editing

#76 by Michael De Vlieger at Tue Jul 05 07:17:35 EDT 2022

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proposed

approved

#75 by Michel Marcus at Tue Jul 05 02:16:59 EDT 2022

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editing

proposed

#74 by Michel Marcus at Tue Jul 05 02:16:52 EDT 2022

LINKS

J.-P. Allouche, A. Arnold, J. Berstel, S. Brlek, W. Jockusch, Simon Plouffe, and B. E. Sagan, <a href="http://dx.doi.org/10.1016/0012-365X(93)00147-W">A relative of the Thue-Morse sequence</a>, Discrete Math., 139, 1995, 455-461.

Narad Rampersad, and Manon Stipulanti, <a href="https://arxiv.org/abs/1807.11899">The Formal Inverse of the Period-Doubling Sequence</a>, arXiv:1807.11899 [math.CO], 2018.

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proposed

editing

#73 by Jon E. Schoenfield at Tue Jul 05 01:44:57 EDT 2022

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editing

proposed

#72 by Jon E. Schoenfield at Tue Jul 05 01:44:55 EDT 2022

FORMULA

a(n) = 2*A003159(n) - 1. a(1)=1, a(n) = a(n-1) + 2 if (a(n-1)+1)/2 does not belong to the sequence and a(n) = a(n-1) + 4 otherwise. - Emeric Deutsch and Bruce E. Sagan, Apr 02 2003

a(n) = (1/2)*A081706(2n-1).

PROG

(MAGMAMagma) [n: n in [0..200] | Valuation(n+1, 2) mod 2 eq 0 + 1]; // Vincenzo Librandi, Apr 16 2015

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proposed

editing

#71 by Chai Wah Wu at Tue Jul 05 00:53:09 EDT 2022

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editing

proposed