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.

A192733 Euler transform is sequence A004016.

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%I A192733 #5 Apr 30 2014 01:36:11
%S A192733 6,-21,76,-345,1734,-8906,46662,-250257,1365388,-7538421,42030150,
%T A192733 -236312690,1338000774,-7620721077,43626920908,-250869973089,
%U A192733 1448248263558,-8389624496618,48751103123142,-284073748405401,1659452645344972,-9715933503018165
%N A192733 Euler transform is sequence A004016.
%F A192733 a(q) = Prod_{k>0} (1 - q^k)^-a(k).
%o A192733 (PARI) {a(n) = local(A, S); if( n<1, 0, A = 1 + x * O(x^n); S = sum( k= 1, n, 6 * sumdiv( k, d, kronecker( d, 3)) * x^k, A); for( k = 1, n-1, S *= (A - x^k) ^ polcoeff( S, k)); polcoeff( S, n))}
%Y A192733 Cf. A004016.
%K A192733 sign
%O A192733 1,1
%A A192733 _Michael Somos_, Jul 08 2011