A030438 - OEIS

%I #7 Jul 10 2011 18:22:32

%S 1,1,2,24,696,37320,3201840,401914800,69458497920,15813882201600,

%T 4587474713068800,1651825133370720000,722868238335090355200,

%U 377862727500237858278400,232536825223980698118297600

%N a(n) = A030019(n)*n! (or A035051*(n-1)!).

%D Warren D. Smith and David Warme, Paper in preparation, 2002.

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%F a(n) = (n-1)! Sum_{i=0}^{n-1} Stirling2(n-1, i) n^i, n >= 1.

%Y Cf. A030019, A035051.

%K nonn

%O 0,3

%A David Warme (warme(AT)s3i.com)