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A003099
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Sum C(n,k^2), k = 0..n.
(Formerly M0576)
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3
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1, 2, 3, 4, 6, 11, 22, 43, 79, 137, 231, 397, 728, 1444, 3018, 6386, 13278, 26725, 51852, 97243, 177671, 320286, 579371, 1071226, 2053626, 4098627, 8451288, 17742649, 37352435, 77926452, 159899767, 321468048, 632531039, 1219295320, 2308910353, 4314168202
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n)/2^n*sqrt(n) is bounded: lim sup a(n)/2^n*sqrt(n)=0.82... and lim inf a(n)/2^n*sqrt(n)=0.58... - Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 14 2003
Binomial transform of the characteristic function of squares A010052. - Carl Najafi, Sep 09 2011
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MATHEMATICA
| Table[Sum[Binomial[n, k^2], {k, 0, Sqrt[n]}], {n, 0, 50}] (* T. D. Noe, Sep 10 2011 *)
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CROSSREFS
| Sequence in context: A117308 A114412 A016038 * A061941 A029505 A185092
Adjacent sequences: A003096 A003097 A003098 * A003100 A003101 A003102
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), H. W. Gould
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EXTENSIONS
| More terms from Carl Najafi (carlnajafi(AT)gmail.com), Sep 09 2011
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