A353873 Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + sin(x).

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

Links

Table of n, a(n) for n=1..22.

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

Crossrefs

Cf. A170914, A170915, A328186, A328191, A353607, A353910, A353911, A353912.

Sequence in context: A328921 A185169 A353914 * A283620 A012927 A013158

Adjacent sequences: A353870 A353871 A353872 * A353874 A353875 A353876

Keyword

sign

Author

Ilya Gutkovskiy, May 10 2022

Status

approved