OFFSET
1,3
FORMULA
a(1) = 1; a(n+1) = Sum_{k=0..n-1} (-1)^k * binomial(n,k)^2 * k! * a(n-k).
MATHEMATICA
terms = 20; A[_] = 0; Do[A[x_] = Normal[Integrate[1 + 1/(1 + x) A[x/(1 + x) + O[x]^(terms + 1)], x] + O[x]^(terms + 1)], terms]; CoefficientList[A[x], x] Range[0, terms]! // Rest
a[1] = 1; a[n_] := a[n] = Sum[(-1)^k Binomial[n - 1, k]^2 k! a[n - k - 1], {k, 0, n - 2}]; Table[a[n], {n, 1, 20}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Jan 23 2020
STATUS
approved