cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A326672 The positions of ones in the binary expansion of n have integer geometric mean.

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%I A326672 #16 Apr 20 2023 04:22:10
%S A326672 1,2,4,8,9,13,16,18,26,32,36,52,64,72,104,128,144,208,256,257,288,321,
%T A326672 416,512,514,576,642,832,1024,1028,1152,1284,1664,2048,2056,2304,2568,
%U A326672 3328,4096,4112,4608,5136,6656,8192,8224,9216,10272,13312,16384,16448
%N A326672 The positions of ones in the binary expansion of n have integer geometric mean.
%H A326672 Amiram Eldar, <a href="/A326672/b326672.txt">Table of n, a(n) for n = 1..500</a>
%H A326672 Wikipedia, <a href="https://en.wikipedia.org/wiki/Geometric_mean">Geometric mean</a>.
%t A326672 Select[Range[100],IntegerQ[GeometricMean[Join@@Position[IntegerDigits[#,2],1]]]&]
%Y A326672 Partitions with integer geometric mean are A067539.
%Y A326672 Subsets with integer geometric mean are A326027.
%Y A326672 Factorizations with integer geometric mean are A326028.
%Y A326672 Numbers whose binary expansion positions have integer mean are A326669.
%Y A326672 Numbers whose binary expansion positions are relatively prime are A326674.
%Y A326672 Numbers whose reversed binary expansion positions have integer geometric mean are A326673.
%Y A326672 Cf. A000120, A051293, A070939, A291166, A326625.
%K A326672 nonn,base
%O A326672 1,2
%A A326672 _Gus Wiseman_, Jul 17 2019