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.
%I A347894 #19 Sep 19 2021 11:33:44
%S A347894 1,0,2,3,52,110,2690,11676,247952,1434600,37576168,296088760,
%T A347894 7698854216,78083294640,2187100997328,27174552638520,806871808214016,
%U A347894 11698163585372736,370098862531800000,6300404006917434624,208037772410558058624,4032385785901175122560,141272996628892396692096
%N A347894 E.g.f.: Product_{k>=1} (1 + x^k)^tan(x).
%F A347894 E.g.f.: exp( tan(x) * Sum_{k>=1} x^k / (k*(1 - x^(2*k))) ). - _Ilya Gutkovskiy_, Sep 18 2021
%F A347894 E.g.f.: exp( tan(x) * Sum_{k>=1} A000593(k)*x^k/k ). - _Seiichi Manyama_, Sep 18 2021
%o A347894 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+x^k)^tan(x))))
%o A347894 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(tan(x)*sum(k=1, N, sigma(k>>valuation(k, 2))*x^k/k))))
%Y A347894 Cf. A000593, A265024, A335630, A347774, A347817, A347893, A347900.
%K A347894 nonn
%O A347894 0,3
%A A347894 _Seiichi Manyama_, Sep 18 2021