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 A353170 #6 May 06 2022 15:13:20
%S A353170 1,-3,-2,7,5,9,-13,-27,-36,-36,67,117,184,171,-38,-356,-731,-883,-733,
%T A353170 -90,1194,2828,4202,5008,3993,201,-6649,-15984,-26148,-32864,-30316,
%U A353170 -13192,22406,75700,139948,196508,222252,184914,53773,-192233,-547296,-968438,-1361207
%N A353170 Expansion of Product_{k>=1} (1 - x^k)^prime(k+1).
%C A353170 Convolution inverse of A353065.
%t A353170 nmax = 42; CoefficientList[Series[Product[(1 - x^k)^Prime[k + 1], {k, 1, nmax}], {x, 0, nmax}], x]
%t A353170 a[0] = 1; a[n_] := a[n] = -(1/n) Sum[Sum[d Prime[d + 1], {d, Divisors[k]}] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 42}]
%Y A353170 Cf. A007441, A065091, A353065, A353169.
%K A353170 sign
%O A353170 0,2
%A A353170 _Ilya Gutkovskiy_, Apr 28 2022