OFFSET
1,5
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..331
FORMULA
Recurrence: a(n+1) = Sum_{k=1..n} Stirling1(n,k) * a(k).
MATHEMATICA
terms = 23; A[_] = 0; Do[A[x_] = Normal[Integrate[1 + A[Log[1 + x] + O[x]^(terms + 1)], x] + O[x]^(terms + 1)], terms]; Rest[CoefficientList[A[x], x] Range[0, terms]!]
a[n_] := a[n] = Sum[StirlingS1[n - 1, k] a[k], {k, 1, n - 1}]; a[1] = 1; Table[a[n], {n, 1, 23}]
PROG
(PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i, stirling(i, j, 1)*v[j])); v; \\ Seiichi Manyama, Jun 24 2022
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, May 02 2019
STATUS
approved