%I A046817
%S A046817 1,1,2,1,6,5,1,12,32,15,1,20,110,175,52,1,30,280,945,1012,203,1,42,595,
3465,
%T A046817 8092,6230,877,1,56,1120,10010,40992,70756,40819,4140,1,72,1932,24570,
156072,
%U A046817 479976,638423,283944,21147,1,90,3120,53550,487704,2350950,5660615,5971350
%N A046817 Triangle of generalized Stirling numbers of 2nd kind.
%D A046817 R. Fray, A generating function associated with the generalized Stirling
numbers, Fib. Quart. 5 (1967), 356-366.
%F A046817 a(n, k)=Sum_{i=k..n} S2(n, i)*S2(i, k).
%F A046817 E.g.f.: exp(exp(exp(x*y)-1)-1)^(1/y). - Vladeta Jovovic (vladeta(AT)eunet.rs),
Dec 14 2003
%e A046817 1; 1 2; 1 6 5; 1 12 32 15; ...
%Y A046817 Diagonals give A000558, A000559, A000110, A002378, etc.
%Y A046817 Cf. A039810.
%Y A046817 Sequence in context: A066654 A145960 A108767 this_sequence A008970 A055896
A159965
%Y A046817 Adjacent sequences: A046814 A046815 A046816 this_sequence A046818 A046819
A046820
%K A046817 tabl,nonn,easy,nice
%O A046817 0,3
%A A046817 N. J. A. Sloane (njas(AT)research.att.com).
%E A046817 More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 13,
2000.
|