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.

A136589 a(n) = Sum_{k=0..n} A136595(n,k)*(n+1)^k.

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%I A136589 #2 Mar 30 2012 18:37:09
%S A136589 1,2,6,44,345,4182,53571,905144,16154550,349976610,8015743483,
%T A136589 211987872516,5925745900685,185188128471374,6108604964499810,
%U A136589 220403394009702384,8375181440031684305,342816825221831030490
%N A136589 a(n) = Sum_{k=0..n} A136595(n,k)*(n+1)^k.
%o A136589 (PARI) {a(n)=sum(k=0,n,if(k==0,0^n,(n+1)^k*n!/(k-1)!* sum(i=0,n-1,(-1)^i*polcoeff(((exp(x+x*O(x^n))-1)^(k+i)),n)*binomial(2*i+k,i)/(2*i+k))))}
%Y A136589 Cf. A136595; A048287, A136596, A136597; A136588.
%K A136589 nonn
%O A136589 0,2
%A A136589 _Paul D. Hanna_, Jan 10 2008