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A292406 Expansion of Product_{k>=1} ((1 + k^k*x^k)/(1 - k^k*x^k)). 2
1, 2, 10, 72, 670, 7896, 113572, 1939028, 38463550, 869985586, 22098989952, 622728621984, 19271496576612, 649553583740576, 23680212403186584, 928276782505698920, 38931911577966732814, 1739307919812511213916, 82457732209611432170734 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
Convolution of A023882 and A265949.
a(n) ~ 2*n^n * (1 + 2*exp(-1)/n + (exp(-1) + 10*exp(-2))/n^2). - Vaclav Kotesovec, Sep 16 2017
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[(1 + k^k*x^k)/(1 - k^k*x^k), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Sep 16 2017 *)
CROSSREFS
Sequence in context: A354288 A182525 A321389 * A185183 A052555 A204808
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 15 2017
STATUS
approved

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Last modified March 28 23:55 EDT 2024. Contains 371264 sequences. (Running on oeis4.)