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Search: id:A023871
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| A023871 |
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G.f.: prod{k=1 to infty} (1 - x^k)^(-k^2). |
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+0
3
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| 1, 1, 5, 14, 40, 101, 266, 649, 1593, 3765, 8813, 20168, 45649, 101591, 223654, 486046, 1045541, 2225167, 4692421, 9804734, 20318249, 41766843, 85218989, 172628766, 347338117, 694330731, 1379437080, 2724353422, 5350185097
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OFFSET
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0,3
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REFERENCES
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G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.
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LINKS
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G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.
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FORMULA
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a(n)=1/n*Sum_{k=1..n} a(n-k)*sigma_3(k), n > 0, a(0)=1, where sigma_3(n)=A001158(n)=sum of cubes of divisors of n. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 20 2002
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CROSSREFS
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Euler transform of squares (A000290).
Cf. A000219, A023872-A023878.
Sequence in context: A024525 A119996 A027089 this_sequence A122485 A032249 A129937
Adjacent sequences: A023868 A023869 A023870 this_sequence A023872 A023873 A023874
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KEYWORD
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nonn
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
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Definition corrected by Franklin T. Adams-Watters and R. J. Mathar, Dec 04 2006
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