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 A347895 #13 Sep 18 2021 11:37:41 %S A347895 1,0,2,6,24,190,1054,10752,81512,964836,10271986,128768090,1692130756, %T A347895 25920268218,373473594246,6417995468640,113429495582192, %U A347895 2067370129203944,40640473402056690,853163776496470734,18080227324013473596,417591451359251698830,9865838382742988603390 %N A347895 E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(sin(x)/k). %F A347895 E.g.f.: exp( sin(x) * Sum_{k>=1} d(k)*x^k/k ). %o A347895 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^(sin(x)/k)))) %o A347895 (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(sin(x)*sum(k=1, N, numdiv(k)*x^k/k)))) %Y A347895 Cf. A000005 (d(n)), A346545, A346841, A347896, A347897. %K A347895 nonn %O A347895 0,3 %A A347895 _Seiichi Manyama_, Sep 18 2021