OFFSET
0,3
COMMENTS
a(34) is the first negative term.
LINKS
Georg Fischer, Table of n, a(n) for n = 0..100
FORMULA
a(n) = Sum_{k=0..n} Stirling1(n, k)*A000262(k). - Vladeta Jovovic, Nov 26 2003
a(0) = 1; a(n) = Sum_{k=1..n} A006252(k) * binomial(n-1,k-1) * a(n-k). - Seiichi Manyama, May 23 2022
MATHEMATICA
CoefficientList[Series[(1+x)^(1/(1-Log[1+x])), {x, 0, 100}], x]* Range[0, 100]! (* Georg Fischer, Feb 17 2019 *)
PROG
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, sum(k=0, j, k!*stirling(j, k, 1))*binomial(i-1, j-1)*v[i-j+1])); v; \\ Seiichi Manyama, May 23 2022
CROSSREFS
KEYWORD
sign
AUTHOR
Vladeta Jovovic, Nov 22 2003
STATUS
approved