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 A367751 #10 Nov 29 2023 11:44:37 %S A367751 1,1,3,13,73,501,4051,37633,394353,4596553,58941091,844031541, %T A367751 12949163833,213873687613,3782022682803,71267635330921, %U A367751 1439160383457121,30612704101371153,686728250047551043,16198763975779425373,400727742254252310441 %N A367751 E.g.f. satisfies A(x) = exp(x * (1 + x + x^2 + x^3 + x^4) * A(x^5)). %F A367751 a(0) = 1; a(n) = (n-1)! * Sum_{k=0..n-1} (k+1) * a(floor(k/5)) * a(n-1-k) / (floor(k/5)! * (n-1-k)!). %o A367751 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=0, i-1, (j+1)*v[j\5+1]*v[i-j]/((j\5)!*(i-1-j)!))); v; %Y A367751 Cf. A367747, A367748, A367749. %Y A367751 Cf. A367654. %K A367751 nonn %O A367751 0,3 %A A367751 _Seiichi Manyama_, Nov 29 2023