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Search: id:A051054
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| A051054 |
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Sum_{k=1..n} C(n, [n/k]). |
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+0
2
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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
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) is asymptotic to 2^n/sqrt(n*Pi/2). - Benoit Cloitre (benoit7848c(AT)orange.fr), 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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CROSSREFS
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Cf. A056045.
Sequence in context: A011890 A131076 A001648 this_sequence A001649 A001276 A097080
Adjacent sequences: A051051 A051052 A051053 this_sequence A051055 A051056 A051057
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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