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A353915
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Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + arctan(x).
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5
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1, -2, -2, -16, -16, 16, -832, -22016, -27648, 173568, -4228608, -57965568, -398991360, 2554896384, -98606039040, -7568860053504, -17762113880064, 200091412463616, -7331825098948608, -258326401420099584, -2009778629489197056, 25949098553870647296, -1278044473427380666368
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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 = 23; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - ArcTan[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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