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A326672 The positions of ones in the binary expansion of n have integer geometric mean. 10
1, 2, 4, 8, 9, 13, 16, 18, 26, 32, 36, 52, 64, 72, 104, 128, 144, 208, 256, 257, 288, 321, 416, 512, 514, 576, 642, 832, 1024, 1028, 1152, 1284, 1664, 2048, 2056, 2304, 2568, 3328, 4096, 4112, 4608, 5136, 6656, 8192, 8224, 9216, 10272, 13312, 16384, 16448 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Wikipedia, Geometric mean.
MATHEMATICA
Select[Range[100], IntegerQ[GeometricMean[Join@@Position[IntegerDigits[#, 2], 1]]]&]
CROSSREFS
Partitions with integer geometric mean are A067539.
Subsets with integer geometric mean are A326027.
Factorizations with integer geometric mean are A326028.
Numbers whose binary expansion positions have integer mean are A326669.
Numbers whose binary expansion positions are relatively prime are A326674.
Numbers whose reversed binary expansion positions have integer geometric mean are A326673.
Sequence in context: A136805 A035258 A115813 * A048300 A178953 A182653
KEYWORD
nonn,base
AUTHOR
Gus Wiseman, Jul 17 2019
STATUS
approved

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)