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A306664
Expansion of Sum_{k>=0} x^(k*(k+1)) / Product_{j=1..k} (1 - x^j)^j.
0
1, 0, 1, 1, 1, 1, 2, 2, 4, 4, 7, 7, 12, 12, 19, 22, 31, 37, 54, 63, 89, 111, 146, 184, 247, 301, 398, 501, 642, 804, 1042, 1293, 1663, 2082, 2648, 3321, 4229, 5268, 6691, 8370, 10553, 13168, 16595, 20659, 25929, 32253, 40321, 50092, 62489, 77418, 96340, 119266, 147998, 182927, 226609
OFFSET
0,7
MATHEMATICA
nmax = 54; CoefficientList[Series[Sum[x^(k (k + 1))/Product[(1 - x^j)^j, {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 04 2019
STATUS
approved