cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A136466 Row 2 of square array A136462: a(n) = C(3*2^(n-1), n) for n>=0.

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%I A136466 #7 Jul 02 2016 07:18:06
%S A136466 1,3,15,220,10626,1712304,927048304,1708566412608,10895665708319184,
%T A136466 244373929798154341120,19561373281624772727757056,
%U A136466 5658395223117478029148167447552,5975982733408602667847206514763365888
%N A136466 Row 2 of square array A136462: a(n) = C(3*2^(n-1), n) for n>=0.
%C A136466 a(n) is found in row n, column 0, of matrix cube A136467^3 for n>=0.
%F A136466 a(n) = [x^n] Sum_{i>=0} (3/2)^i * log(1 + 2^i*x)^i/i!.
%F A136466 a(n) ~ 3^n * 2^(n*(n-1)) / n!. - _Vaclav Kotesovec_, Jul 02 2016
%t A136466 Table[Binomial[3*2^(n-1),n], {n,0,15}] (* _Vaclav Kotesovec_, Jul 02 2016 *)
%o A136466 (PARI) a(n)=binomial(3*2^(n-1),n)
%o A136466 (PARI) /* T(n,k) = Coefficient of x^k in series: */ a(n)=polcoeff(sum(i=0,n,(3/2)^i*log(1+2^i*x +x*O(x^n))^i/i!),n)
%Y A136466 Cf. A136462; other rows: A136465, A014070, A101346; A136467.
%K A136466 nonn
%O A136466 0,2
%A A136466 _Paul D. Hanna_, Dec 31 2007