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A051054 a(n) = Sum_{k=1..n} C(n, floor(n/k)). 4
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; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..32.

FORMULA

a(n) is asymptotic to 2^n/sqrt(n*Pi/2). - Benoit Cloitre, Jan 11 2003

MAPLE

A051054 := proc(n) local k; add(binomial(n, floor(n/k)), k=1..n); end; [seq(A051054(n), n=0..40)];

MATHEMATICA

Table[Sum[Binomial[n, Floor[n/i]], {i, n}], {n, 0, 40}] (* Wesley Ivan Hurt, May 16 2016 *)

CROSSREFS

Cf. A056045, A273160, A273161.

Sequence in context: A011890 A131076 A001648 * A001649 A303220 A301894

Adjacent sequences:  A051051 A051052 A051053 * A051055 A051056 A051057

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 21 20:25 EDT 2019. Contains 321382 sequences. (Running on oeis4.)