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A320939
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a(n) = n! * [x^n] log(1 + Sum_{k>=1} k^n*x^k/k!).
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2
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0, 1, 3, 5, -650, -46071, 3121776, 5538166381, 3146076001776, -10459815889305231, -100694615309371571840, -193538025548431984737219, 38912028315765820944424730112, 2554132880645627969533690819801657, -106074951996903194289368162206783509504
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OFFSET
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0,3
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COMMENTS
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a(n) is the n-th term of the logarithmic transform of the n-th powers.
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LINKS
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MAPLE
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seq(coeff(series(factorial(n)*log(1+add(k^n*x^k/factorial(k), k=1..n)), x, n+1), x, n), n = 0 .. 15); # Muniru A Asiru, Oct 28 2018
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MATHEMATICA
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Table[n! SeriesCoefficient[Log[1 + Sum[k^n x^k/k!, {k, 1, n}]], {x, 0, n}], {n, 0, 14}]
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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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