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A091819 Numbers k that have, in binary, the same number of ones as are in k^2 and which have no nonincreasing binary representation. 0

%I #8 Mar 06 2022 23:09:01

%S 79,91,157,158,159,182,183,187,279,287,314,316,317,318,319,351,364,

%T 365,366,374,375,379,445,558,573,574,575,628,632,634,636,637,638,639,

%U 702,703,728,730,732,735,748,750,751,758,759,763,815,890,893,975,1071

%N Numbers k that have, in binary, the same number of ones as are in k^2 and which have no nonincreasing binary representation.

%C In A077436 but not in A023758.

%H G. Melfi, <a href="https://arxiv.org/abs/math/0402458">On simultaneous binary expansions of n and n^2</a>, arXiv:math/0402458 [math.NT], 2004.

%K nonn

%O 1,1

%A _Ralf Stephan_, Mar 08 2004

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Last modified March 19 06:05 EDT 2024. Contains 370952 sequences. (Running on oeis4.)