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%I M1096 N0418 #31 Sep 15 2023 10:32:51
%S 1,2,4,8,14,18,28,40,52,70,88,104,140,168,196,240,278,320,380,440,504,
%T 562,644,720,808,910,1000,1120,1240,1360,1488,1600,1789,1938,2100,
%U 2296,2452,2660,2880,3080,3292,3542,3784,4048,4400,4572,4868,5280,5502,5850
%N Generalized sum of divisors function.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Seiichi Manyama, <a href="/A002132/b002132.txt">Table of n, a(n) for n = 4..10000</a>
%H G. E. Andrews and S. C. F. Rose, <a href="http://arxiv.org/abs/1010.5769">MacMahon's sum-of-divisors functions, Chebyshev polynomials, and Quasi-modular forms</a>, arXiv:1010.5769 [math.NT], 2010.
%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.: (1/2) * ( Sum_{k>=2} (-1)^k * k * binomial(k+1,3) * q^(k^2) ) / ( 1 + 2 * Sum_{k>=1} (-q)^(k^2) ). - _Seiichi Manyama_, Sep 15 2023
%Y A diagonal of A060047.
%Y Cf. A015128.
%K nonn,easy
%O 4,2
%A _N. J. A. Sloane_
%E More terms from _Naohiro Nomoto_ and _Vladeta Jovovic_, Jan 25 2002
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