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A001036 Partial sums of A001037, omitting A001037(1).
(Formerly M1067 N0403)
1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
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).
LINKS
M. A. Harrison, On the classification of Boolean functions by the general linear and affine groups, J. Soc. Indust. Appl. Math. 12 (1964), 285-299.
FORMULA
a(n) = A062692(n)-1. - Gabriele Fici, Feb 02 2011
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
MATHEMATICA
f[n_] := DivisorSum[n, MoebiusMu[#] * 2^(n/#) &] / n; Accumulate[Array[f, 30]] - 1 (* Amiram Eldar, Aug 24 2023 *)
CROSSREFS
Sequence in context: A128768 A235607 A254007 * A054150 A130709 A051013
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from David W. Wilson, Oct 11 2000
STATUS
approved

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Last modified March 19 06:32 EDT 2024. Contains 370953 sequences. (Running on oeis4.)