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.

A347896 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(cos(x)/k).

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%I A347896 #10 Sep 18 2021 11:37:50
%S A347896 1,1,3,8,35,154,1069,6992,63181,581792,6370661,67452274,951915997,
%T A347896 11969405746,179011910505,2779710261520,48258699341241,
%U A347896 801399592338584,16001984887453273,296633739485713758,6451644638913737817,139116145404549492478,3202263932381289406973,72019768700608119636692
%N A347896 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(cos(x)/k).
%F A347896 E.g.f.: exp( cos(x) * Sum_{k>=1} d(k)*x^k/k ).
%o A347896 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^(cos(x)/k))))
%o A347896 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, numdiv(k)*x^k/k))))
%Y A347896 Cf. A000005 (d(n)), A346545, A347895, A347897.
%K A347896 nonn
%O A347896 0,3
%A A347896 _Seiichi Manyama_, Sep 18 2021