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A352404
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Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + log(1 + x).
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3
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1, -1, 5, -35, 204, -1294, 16862, -225266, 2346712, -31689336, 558727872, -9891952608, 185546362416, -3668674300992, 83728926109488, -2078005263610704, 50908186083448320, -1343594571773137536, 38998680958184088960, -1181298578244977897856, 37029733866954589964544
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OFFSET
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1,3
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LINKS
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FORMULA
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Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 - Sum_{n>=1} (-x)^n/n.
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MATHEMATICA
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b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, Sum[Binomial[c[i], j] b[n - i j, i - 1], {j, 0, n/i}]]]; c[n_] := c[n] = (-1)^(n + 1)/n - b[n, n - 1]; a[n_] := n! c[n]; Table[a[n], {n, 1, 21}]
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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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