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 A353156 #6 May 06 2022 15:12:54
%S A353156 1,-3,4,-4,2,6,-22,46,-74,86,-40,-120,450,-958,1506,-1694,744,2500,
%T A353156 -9184,19422,-30450,34032,-14178,-52286,188038,-394724,615102,-681110,
%U A353156 268666,1089974,-3847390,8021030,-12426638,13632728,-5063588,-22711916,78708912,-162966020,251005706
%N A353156 a(0) = 1; a(n) = -Sum_{k=1..n} prime(k+1) * a(n-k).
%F A353156 G.f.: 1 / (1 + Sum_{k>=1} prime(k+1) * x^k).
%t A353156 a[0] = 1; a[n_] := a[n] = -Sum[Prime[k + 1] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 38}]
%t A353156 nmax = 38; CoefficientList[Series[1/(1 + Sum[Prime[k + 1] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A353156 Cf. A006005, A030017, A030018, A065091, A292744, A300662, A307898, A307899, A346792.
%K A353156 sign
%O A353156 0,2
%A A353156 _Ilya Gutkovskiy_, Apr 27 2022