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 A352003 #14 Mar 01 2022 01:33:40
%S A352003 1,0,1,2,-3,44,-35,1014,-1127,46808,153081,3240170,-30922859,
%T A352003 443621892,331421077,121899383774,691635821745,19657393214384,
%U A352003 424491327098353,2132527815161298,-2864544697983059,3885322666246386140,22621061924336157261,882556261002776755142
%N A352003 Expansion of e.g.f. Product_{k>=1} (1 + x^prime(k))^(1/prime(k)).
%F A352003 E.g.f.: exp( Sum_{k>=1} A305614(k)*x^k/k ) where A305614(k) = Sum_{p|k, p prime} (-1)^(k/p+1).
%o A352003 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(prod(k=1, N, (1+isprime(k)*x^k)^(1/k))))
%o A352003 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, sumdiv(k, d, isprime(d)*(-1)^(k/d+1))*x^k/k))))
%Y A352003 Cf. A168243, A305614, A318913, A352005.
%K A352003 sign
%O A352003 0,4
%A A352003 _Seiichi Manyama_, Feb 28 2022