Search: id:A137973
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%I A137973
%S A137973 1,1,5,40,355,3495,36251,391650,4355810,49550130,573811635,6742112506,
%T A137973 80175836395,963137138105,11670425726255,142471372540290,
%U A137973 1750641388279500,21634966222174020,268734270298502640
%N A137973 G.f. satisfies A(x) = 1 + x*(1 + x*A(x)^6)^5.
%F A137973 G.f.: A(x) = 1 + x*B(x)^5 where B(x) is the g.f. of A137974.
%F A137973 a(n) = Sum_{k=0..n-1} C(5*(n-k),k)/(n-k) * C(6*k,n-k-1) for n>0 with 
               a(0)=1. [From Paul D. Hanna (pauldhanna(AT)juno.com), Jun 16 2009]
%o A137973 (PARI) {a(n)=local(A=1+x*O(x^n));for(i=0,n,A=1+x*(1+x*A^6)^5);polcoeff(A,
               n)}
%o A137973 (PARI) a(n)=if(n==0,1,sum(k=0,n-1,binomial(5*(n-k),k)/(n-k)*binomial(6*k,
               n-k-1))) [From Paul D. Hanna (pauldhanna(AT)juno.com), Jun 16 2009]
%Y A137973 Cf. A137974, A137972; A137961, A137963, A137965.
%Y A137973 Sequence in context: A027259 A007036 A052798 this_sequence A052788 A130564 
               A124555
%Y A137973 Adjacent sequences: A137970 A137971 A137972 this_sequence A137974 A137975 
               A137976
%K A137973 nonn
%O A137973 0,3
%A A137973 Paul D. Hanna (pauldhanna(AT)juno.com), Feb 26 2008

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