A060045 - OEIS

%I #10 Jul 12 2019 02:51:48

%S 1,-1,1,-2,10,-11,12,-21,31,-13,23,-42,42,-42,43,22,-14,33,-126,185,

%T -273,406,-387,637,-945,1092,-1389,1841,-2358,2852,-3023,3876,-4953,

%U 5593,-6321,7581,-9222,10241,-11205,14021,-16247,17710,-19858,23015,-26705,28908,-31318,36270,-41316,45619,-49015,55287

%N Generalized sum of divisors function: third diagonal of A060044.

%H P. A. MacMahon, <a href="https://doi.org/10.1112/plms/s2-19.1.75">Divisors of numbers and their continuations in the theory of partitions</a>, Proc. London Math. Soc., 19 (1919), 75-113; Coll. Papers II, pp. 303-341.

%F 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

%K sign,easy

%O 9,4

%A _N. J. A. Sloane_, Mar 19 2001

%E More terms from _Naohiro Nomoto_, Jan 24 2002

%E More terms from _Vladeta Jovovic_, Sep 21 2007