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Search: id:A060045
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| A060045 |
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Generalized sum of divisors function: third diagonal of A060044. |
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+0
2
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| 1, -1, 1, -2, 10, -11, 12, -21, 31, -13, 23, -42, 42, -42, 43, 22, -14, 33, -126, 185, -273, 406, -387, 637, -945, 1092, -1389, 1841, -2358, 2852, -3023, 3876, -4953, 5593, -6321, 7581, -9222, 10241, -11205, 14021, -16247, 17710, -19858, 23015, -26705, 28908, -31318, 36270, -41316, 45619, -49015, 55287
(list; graph; listen)
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OFFSET
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9,4
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REFERENCES
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P. A. MacMahon, Divisors of numbers and their continuations in the theory of partitions, Proc. London Math. Soc., (2) 19 (1919), 75-113; Coll. Papers II, pp. 303-341.
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FORMULA
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G.f.: (t(1)^3-3*t(1)*t(2)+2*t(3))/6 where t(i) = Sum(x^(n*i)/(1+x^n)^(2*i),n=1..inf), i=1..3. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 21 2007
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CROSSREFS
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Sequence in context: A136819 A136816 A134948 this_sequence A000462 A032930 A033293
Adjacent sequences: A060042 A060043 A060044 this_sequence A060046 A060047 A060048
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KEYWORD
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sign,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 19 2001
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EXTENSIONS
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More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Jan 24 2002
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 21 2007
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