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.

A303355 Expansion of Product_{k>0} (1+k^2*x^k)^(1/k).

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%I A303355 #11 Apr 24 2018 02:18:44
%S A303355 1,1,2,5,5,13,20,32,-2,107,149,129,-108,-262,606,4273,-1001,-1150,
%T A303355 -8147,-25864,1793,131821,236852,170299,-1457515,-1298382,-696074,
%U A303355 4852276,13381975,9282183,-31755860,-38912939,-155537309,238551912,420017788,224666693,-1955768303
%N A303355 Expansion of Product_{k>0} (1+k^2*x^k)^(1/k).
%C A303355 This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/n, g(n) = -n^2.
%p A303355 seq(coeff(series(mul((1+k^2*x^k)^(1/k), k = 1..n), x, n+1), x, n), n = 0..40); # _Muniru A Asiru_, Apr 22 2018
%o A303355 (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+k^2*x^k)^(1/k)))
%Y A303355 Cf. A294620, A303354.
%K A303355 sign
%O A303355 0,3
%A A303355 _Seiichi Manyama_, Apr 22 2018