Search: id:A070967
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%I A070967
%S A070967 1,2,926,37130,2973350,174174002,11582386286,729520967450,
%T A070967 47006639297270,2999857885752002,192222214478506046,
%U A070967 12295976362284182570,787111112023373201990,50370558298891875954002
%N A070967 Sum(binomial(6*n,6*k),k=0..n).
%D A070967 Matthijs Coster, Supercongruences, Thesis, Jun 08, 1988.
%F A070967 G.f.: (1-36x-841x^2+288x^3)/((1-x)(1+27x)(1-64x)). a(n) = ((-27)^n + 
               1)/3 + (64^n +0^n)/6.
%F A070967 Let b(n)=a(n)-2^(6n)/6 then b(n)+26*b(n-1)-27*b(n-2)=0 - Benoit Cloitre 
               (benoit7848c(AT)orange.fr), May 27 2004
%o A070967 (PARI) a(n)=sum(k=0,n,binomial(6*n,6*k))
%o A070967 (PARI) a(n)=if(n<0,0,(2*(-27)^n+2+64^n+0^n)/6)
%o A070967 (PARI) a(n)=if(n<0,0,polsym(x*(x-64)*(x+27)^2*(x-1)^2,n)[n+1]/6)
%Y A070967 Sequence in context: A050247 A159705 A159723 this_sequence A070927 A070922 
               A079233
%Y A070967 Adjacent sequences: A070964 A070965 A070966 this_sequence A070968 A070969 
               A070970
%K A070967 easy,nonn
%O A070967 0,2
%A A070967 Sebastian Gutierrez and Sarah Kolitz (skolitz(AT)mit.edu), May 16 2002

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