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A353607
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Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + sin(x).
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9
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1, 0, -1, 4, -19, 114, -659, 5328, -38375, 400430, -3578279, 44920360, -476298835, 6949878740, -85215100151, 1492480745728, -20903398375855, 382829285287446, -6399968826052559, 136747967762351544, -2394435177245209195, 55602194767215266060, -1123931378903214542099
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OFFSET
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1,4
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LINKS
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MATHEMATICA
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nn = 23; f[x_] := Product[(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
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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