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 A353164 #15 Apr 28 2022 13:36:11 %S A353164 1,0,2,3,4,17,17,63,100,211,495,846,2057,3831,8181,17078,33788,72705, %T A353164 144801,303452,623115,1274365,2652052,5408046,11207927,23020231, %U A353164 47378495,97774736,200819019,414365805,852285510,1755453858,3616014678,7441523271,15332278869 %N A353164 Expansion of 1/(1 - Sum_{p prime} p * x^p). %F A353164 a(0) = 1; a(n) = Sum_{p<=n, p prime} p * a(n-p). %o A353164 (PARI) my(N=40, x='x+O('x^N)); Vec(1/(1-sum(k=1, N, isprime(k)*k*x^k))) %o A353164 (PARI) a(n) = if(n==0, 1, sum(k=1, n, isprime(k)*k*a(n-k))); %Y A353164 Cf. A000040, A023360, A088305, A353162, A353165. %K A353164 nonn %O A353164 0,3 %A A353164 _Seiichi Manyama_, Apr 28 2022