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.

A145076 Coefficient of x^(6^n) in Q(x)^(n+1), where Q(x) = Sum_{k>=0} x^(6^k)*(1 - x^(5*6^k))/(1 - x^(6^k)).

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%I A145076 #10 May 07 2019 23:28:24
%S A145076 1,5,25,270,3430,52996,968905,20342540,480982030,12646108250,
%T A145076 365943140101,11555148366323,395323293564108
%N A145076 Coefficient of x^(6^n) in Q(x)^(n+1), where Q(x) = Sum_{k>=0} x^(6^k)*(1 - x^(5*6^k))/(1 - x^(6^k)).
%p A145076 Q:=proc(x,n) options operator, arrow: sum(x^(6^k)+x^(2*6^k)+x^(3*6^k)+x^(4*6^k)+x^(5*6^k),k=0..n) end proc: seq(coeff(Q(x,n)^(n+1),x,6^n),n=0..6); # _Emeric Deutsch_, Oct 20 2008
%o A145076 (PARI) {a(n,q=6)=local(Q=sum(j=0,n,(x^(q^j)-x^(q*q^j))/(1-x^(q^j)+O(x^(q^n+1)))));polcoeff(Q^(n+1),q^n)}
%Y A145076 Cf. A007178, A145073, A145074, A145075.
%K A145076 more,nonn
%O A145076 0,2
%A A145076 _Paul D. Hanna_, Oct 09 2008
%E A145076 a(6) from _Emeric Deutsch_, Oct 20 2008
%E A145076 a(7)-a(12) from _Max Alekseyev_, Dec 19 2011