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A001036
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Partial sums of A001037, omitting A001037(1).
(Formerly M1067 N0403)
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1
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1, 2, 4, 7, 13, 22, 40, 70, 126, 225, 411, 746, 1376, 2537, 4719, 8799, 16509, 31041, 58635, 111012, 210870, 401427, 766149, 1465019, 2807195, 5387990, 10358998, 19945393, 38458183, 74248450, 143522116, 277737796, 538038782, 1043325197
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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G.f.: -x/(1 - x) + (1/(1 - x)) * Sum_{k>=1} mu(k)*log(1/(1 - 2*x^k))/k. - Ilya Gutkovskiy, Nov 11 2019
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MATHEMATICA
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f[n_] := DivisorSum[n, MoebiusMu[#] * 2^(n/#) &] / n; Accumulate[Array[f, 30]] - 1 (* Amiram Eldar, Aug 24 2023 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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