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A365665 Expansion of Sum_{0<i<j<k<l<m} q^(i+j+k+l+m)/( (1-q^i)*(1-q^j)*(1-q^k)*(1-q^l)*(1-q^m) )^2. 2
1, 3, 9, 22, 51, 108, 208, 390, 693, 1193, 1977, 3195, 4995, 7722, 11583, 17164, 24882, 35685, 50205, 70083, 96300, 131101, 176358, 235377, 310651, 407352, 529074, 682750, 874038, 1112085, 1405521, 1766259, 2206413, 2741431, 3389052, 4168089, 5103450, 6218469 (list; graph; refs; listen; history; text; internal format)
OFFSET
15,2
LINKS
G. E. Andrews and S. C. F. Rose, MacMahon's sum-of-divisors functions, Chebyshev polynomials, and Quasi-modular forms, arXiv:1010.5769 [math.NT], 2010.
FORMULA
G.f.: -(1/11) * ( Sum_{k>=5} (-1)^k * (2*k+1) * binomial(k+5,10) * q^(k*(k+1)/2) ) / ( Sum_{k>=0} (-1)^k * (2*k+1) * q^(k*(k+1)/2) ).
CROSSREFS
A diagonal of A060043.
Sequence in context: A160462 A000711 A278668 * A160526 A121589 A227454
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 15 2023
STATUS
approved

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Last modified September 8 11:48 EDT 2024. Contains 375753 sequences. (Running on oeis4.)