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

Author

N. J. A. Sloane, Mar 19 2001

Keywords

• sign
• easy

Links

• 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

Extensions

More terms from Naohiro Nomoto, Jan 24 2002

More terms from Vladeta Jovovic, Sep 21 2007