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A000801
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a(n) = Sum_{k = 1..n} floor(2^k / k).
(Formerly M1015 N0381)
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2
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2, 4, 6, 10, 16, 26, 44, 76, 132, 234, 420, 761, 1391, 2561, 4745, 8841, 16551, 31114, 58708, 111136, 211000, 401650, 766372, 1465422, 2807599, 5388709, 10359735, 19946715, 38459505, 74250899, 143524565, 277742293, 538043341, 1043333611, 2025040421
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OFFSET
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1,1
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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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T. D. Noe, Table of n, a(n) for n = 1..500
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MAPLE
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A000801 := proc(n) local k; sum(floor(2^k/k), k=1..n); end;
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MATHEMATICA
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Table[Sum[Floor[2^k/k], {k, n}], {n, 30}] (* T. D. Noe, Jun 20 2012 *)
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CROSSREFS
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Cf. A000799.
Sequence in context: A307795 A065795 A293077 * A080105 A023557 A293671
Adjacent sequences: A000798 A000799 A000800 * A000802 A000803 A000804
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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