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0, 1, 2, 3, 5, 6, 8, 9, 12, 13, 15, 17, 19, 21, 24, 25, 27, 30, 32, 34, 37, 39, 41, 43, 46, 48, 52, 53, 55, 59, 61, 62, 66, 68, 72, 74, 76, 78, 82, 84, 86, 90, 92, 94, 99, 101, 103, 105, 108, 111, 115, 117, 119, 123, 126, 128, 132, 134, 136, 140, 142, 144, 150, 151, 155, 158, 160, 162, 166, 170, 172, 175, 177, 179, 185
(list;
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refs;
listen;
history;
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internal format)
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OFFSET
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1,3
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COMMENTS
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All three of A038548, A136107, and the present sequence have generating functions which resemble Lambert series.
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LINKS
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Eric Angelini, Michael S. Branicky, Giovanni Resta, N. J. A. Sloane, and David W. Wilson, The Comma Sequence: A Simple Sequence With Bizarre Properties, arXiv:2401.14346, Youtube
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FORMULA
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a(n) ~ n*(log(2*n)/2 + gamma - 1/2), where gamma is the Euler-Mascheroni constant A001620. - Vaclav Kotesovec, Jan 08 2024
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PROG
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(PARI) f(n) = numdiv(n>>valuation(n, 2)) - ispolygonal(n, 3); \\ A136107
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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