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 A385548 #9 Jul 03 2025 05:42:33 %S A385548 1,1,4,27,340,7185,254046,14579341,1345796824,196990674705, %T A385548 45358607173690,16288829003062341,9064769868554283060, %U A385548 7771093242706161635449,10211642577081863563621990,20477419392449457003138477885,62420691099194078521450782932656 %N A385548 E.g.f. A(x) satisfies A(x) = 1 + Sum_{k>=1} k * x^k/k! * A(k*x). %F A385548 a(0) = 1; a(n) = Sum_{k=0..n-1} (n-k)^(k+1) * binomial(n,k) * a(k). %o A385548 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (i-j)^(j+1)*binomial(i, j)*v[j+1])); v; %Y A385548 Cf. A385544. %K A385548 nonn %O A385548 0,3 %A A385548 _Seiichi Manyama_, Jul 03 2025