OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..n} (-n * (n-k+1))^k / k!.
MATHEMATICA
Table[n! SeriesCoefficient[1/(Exp[n x] - x), {x, 0, n}], {n, 0, 17}]
Join[{1}, Table[n! Sum[(-n (n - k + 1))^k/k!, {k, 0, n}], {n, 1, 17}]]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Aug 09 2020
STATUS
approved