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 A367754 #8 Nov 29 2023 11:43:25
%S A367754 1,1,3,10,49,276,1921,14533,127905,1214524,12923641,146976501,
%T A367754 1828895113,24160939960,343798990809,5162735472196,82578544952641,
%U A367754 1387325644153368,24621686929968625,457066782857330929,8906813110169504841,180902690843146001416
%N A367754 E.g.f. satisfies A(x) = exp(x * (1 + x) * A(x^2/2)).
%F A367754 a(0) = 1; a(n) = (n-1)! * Sum_{k=0..n-1} (k+1) * a(floor(k/2)) * a(n-1-k) / (2^floor(k/2) * floor(k/2)! * (n-1-k)!).
%o A367754 (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\2+1]*v[i-j]/(2^(j\2)*(j\2)!*(i-1-j)!))); v;
%Y A367754 Cf. A367755, A367756, A367757.
%Y A367754 Cf. A143566.
%K A367754 nonn
%O A367754 0,3
%A A367754 _Seiichi Manyama_, Nov 29 2023