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A051054
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a(n) = Sum_{k=1..n} C(n, floor(n/k)).
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5
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0, 1, 3, 7, 15, 26, 54, 85, 159, 292, 513, 804, 1844, 2965, 5169, 10679, 20107, 34120, 72498, 126028, 245966, 498852, 913872, 1644570, 3600916, 6530881, 12280999, 25149973, 48355605, 89310576, 187976827, 348475899, 677303827
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..32.
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FORMULA
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a(n) is asymptotic to 2^n/sqrt(n*Pi/2). - Benoit Cloitre, Jan 11 2003
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MAPLE
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A051054 := proc(n) local k; add(binomial(n, floor(n/k)), k=1..n); end; [seq(A051054(n), n=0..40)];
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MATHEMATICA
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Table[Sum[Binomial[n, Floor[n/i]], {i, n}], {n, 0, 40}] (* Wesley Ivan Hurt, May 16 2016 *)
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CROSSREFS
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Cf. A056045, A273160, A273161, A345466.
Sequence in context: A011890 A131076 A001648 * A001649 A303220 A301894
Adjacent sequences: A051051 A051052 A051053 * A051055 A051056 A051057
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KEYWORD
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nonn,easy
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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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