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Search: id:A059819
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| A059819 |
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Expansion of series related to Liouville's Last Theorem (see Maple code). |
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+0
7
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| 0, 1, 3, 5, 9, 11, 18, 19, 28, 30, 40, 39, 57, 51, 68, 68, 86, 77, 107, 91, 123, 114, 138, 121, 172, 140, 178, 166, 205, 171, 240, 189, 251, 224, 266, 230, 322, 245, 314, 286, 356, 283, 396, 303, 403, 361, 416, 343, 497, 368, 479, 424, 515, 407
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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G. E. Andrews, Some debts I owe, Seminaire Lotharingien Combinatoire, Paper B42a, Issue 42, 2000; see (7.4).
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LINKS
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G. E. Andrews, Some debts I owe
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FORMULA
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a(n) = (sigma(n)+tau(n)+Sum_{k=0..n} tau(k)*tau(n-k))/2. G.f.: (F(x)+G(x)^2)/2, where F(x) = Sum_{k>0} (k+1)*x^k/(1-x^k) and G(x) = Sum_{k>0} x^k/(1-x^k). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 12 2004
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MAPLE
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Mk := proc(k) -1*add( (-1)^n*q^(n*(n+1)/2)/(1-q^n)^k/mul(1-q^i, i=1..n), n=1..101): end; # with k=2
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CROSSREFS
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Cf. A000005 (k=1), A059819 (k=2), A059820 (k=3), ..., A059825 (k=8).
Adjacent sequences: A059816 A059817 A059818 this_sequence A059820 A059821 A059822
Sequence in context: A120811 A123069 A100456 this_sequence A074986 A123328 A091945
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KEYWORD
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nonn
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AUTHOR
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njas, Feb 24 2001
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