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A353873
Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + sin(x).
6
1, -2, -1, -20, -19, 94, -659, -29392, -38375, 309458, -3578279, -31878824, -476298835, 5459426348, -85215100151, -12006576849152, -20903398375855, 314905758207466, -6399968826052559, -178647405711887800, -2394435177245209195, 46569786580097365748
OFFSET
1,2
MATHEMATICA
nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - Sin[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, May 10 2022
STATUS
approved