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A306706
Expansion of Sum_{k>=0} x^(k*(k+1)/2) / Product_{j=1..k} (1 + x^j)^j.
1
1, 1, -1, 2, -2, 0, 1, 2, -4, -3, 7, 4, -4, -14, 6, 10, 12, -14, 0, -26, 3, 7, 60, 11, -27, -99, -26, 6, 126, 94, 58, -87, -180, -201, -46, 145, 282, 330, 142, -21, -515, -573, -716, -15, 423, 1519, 1128, 1197, -783, -1378, -3264, -1892, -1574, 2155, 2679, 6075, 3376, 3243
OFFSET
0,4
MATHEMATICA
nmax = 57; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 + x^j)^j, {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]
CROSSREFS
Sequence in context: A354787 A096994 A035370 * A163000 A303548 A105524
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Mar 05 2019
STATUS
approved