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A353913
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Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arcsin(x).
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5
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1, -2, 1, -28, 29, -194, 1583, -61328, 144153, -1697262, 20127867, -191762088, 3978820221, -66586416948, 1057400360235, -58260102945024, 370244721585681, -7992573879248406, 162968423791332339, -3399970067764816824, 88052648301403014789, -2360852841450177138924
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcSin[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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