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.

A321619 Expansion of Product_{k>0} (1 - d(k)*x^k), where d(k) is the number of divisors of k.

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%I A321619 #12 Nov 17 2018 13:07:42
%S A321619 1,-1,-2,0,-1,5,0,6,0,-5,9,-14,-18,-13,31,-26,-3,-5,34,18,21,117,-36,
%T A321619 -10,-64,52,-140,276,-142,-232,-456,-16,56,330,-421,-119,1055,-679,
%U A321619 499,49,1601,-712,1199,-932,3488,-4640,1186,182,-700,2116,-1281,-5305,1983,1432
%N A321619 Expansion of Product_{k>0} (1 - d(k)*x^k), where d(k) is the number of divisors of k.
%C A321619 This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = A000005(n).
%H A321619 Seiichi Manyama, <a href="/A321619/b321619.txt">Table of n, a(n) for n = 0..10000</a>
%o A321619 (PARI) N=99; x='x+O('x^N); Vec(prod(k=1, N, 1-numdiv(k)*x^k))
%Y A321619 Convolution inverse of A279784.
%Y A321619 Cf. A000005, A279786, A288098.
%K A321619 sign
%O A321619 0,3
%A A321619 _Seiichi Manyama_, Nov 15 2018