%I A000395 M4175 N1739
%S A000395 1,6,27,104,369,1236,3989,12522,38535,116808,350064,1039896,3068145,
%T A000395 9004182,26314773,76652582,222705603,645731148,1869303857,5404655358,
%U A000395 15611296146,45060069406,129989169909,374843799786,1080624405287
%N A000395 6th power of rooted tree enumerator; number of linear forests of 6 rooted 
               trees.
%D A000395 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000395 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000395 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               150.
%H A000395 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%F A000395 G.f.: B(x)^6 where B(x) is g.f. of A000081.
%p A000395 b:= proc(n) option remember; if n<=1 then n else add(k*b(k)* s(n-1, k), 
               k=1..n-1)/(n-1) fi end: s:= proc(n,k) option remember; add(b(n+1-j*k), 
               j=1..iquo(n,k)) end: B:= proc(n) option remember; add (b(k)*x^k, 
               k=1..n) end: a:= n-> coeff (series (B(n-5)^6, x=0, n+1), x,n): seq 
               (a(n), n=6..30); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Aug 21 2008]
%Y A000395 Cf. A000081, A000106, A000242, A000300, A000343.
%Y A000395 Sequence in context: A057222 A124641 A054457 this_sequence A005325 A099623 
               A119852
%Y A000395 Adjacent sequences: A000392 A000393 A000394 this_sequence A000396 A000397 
               A000398
%K A000395 nonn
%O A000395 6,2
%A A000395 N. J. A. Sloane (njas(AT)research.att.com).
%E A000395 More terms from Christian G. Bower (bowerc(AT)usa.net), Nov 15 1999.