A060045 Generalized sum of divisors function: third diagonal of A060044.

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

Offset

9,4

Links

Table of n, a(n) for n=9..60.

P. A. MacMahon, Divisors of numbers and their continuations in the theory of partitions, Proc. London Math. Soc., 19 (1919), 75-113; Coll. Papers II, pp. 303-341.

Formula

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, Sep 21 2007

Crossrefs

Sequence in context: A188264 A169683 A134948 * A340051 A000462 A340649

Adjacent sequences: A060042 A060043 A060044 * A060046 A060047 A060048

Keyword

sign,easy

Author

N. J. A. Sloane, Mar 19 2001

Extensions

More terms from Naohiro Nomoto, Jan 24 2002

More terms from Vladeta Jovovic, Sep 21 2007

Status

approved