%I A008826
%S A008826 1,1,3,1,13,18,1,50,205,180,1,201,1865,4245,2700,1,875,16674,74165,
%T A008826 114345,56700,1,4138,155477,1208830,3394790,3919860,1587600,1,21145,
%U A008826 1542699,19800165,90265560,182184030,167310360,57153600,1,115973
%N A008826 Triangle of coefficients from fractional iteration of e^x - 1.
%D A008826 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 148.
%F A008826 G.f. A(n;x) for n-th row satisfies A(n;x) = Sum_{k=0..n-1} Stirling2(n, 
               k)*A(k;x)*x, A(1;x) = 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Jan 02 2004
%e A008826 1; 1,3; 1,13,18; 1,50,205,180; ...
%Y A008826 Diagonals give A008827, A006472, A059355. Row sums is A005121.
%Y A008826 Sequence in context: A133171 A133177 A053286 this_sequence A103440 A116483 
               A010290
%Y A008826 Adjacent sequences: A008823 A008824 A008825 this_sequence A008827 A008828 
               A008829
%K A008826 nonn,tabl,nice
%O A008826 2,3
%A A008826 N. J. A. Sloane (njas(AT)research.att.com).
%E A008826 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 02 2004