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 A367830 #14 Dec 02 2023 13:13:55
%S A367830 1,2,13,208,7817,681626,136872113,62739300968,64993463748977,
%T A367830 150619722938940622,773428868899900772345,8724654696222415759129388,
%U A367830 214574098061440421518595200025,11429824974654804201081062775335234,1311103770238649103823410558613476172193
%N A367830 E.g.f. A(x) satisfies A(x) = (1 + (exp(x) - 1) * A(2*x)) / (1 - x).
%F A367830 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 2^(n-k) * binomial(n,k) * a(n-k).
%o A367830 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+sum(j=1, i, 2^(i-j)*binomial(i, j)*v[i-j+1])); v;
%Y A367830 Cf. A006155, A367831.
%Y A367830 Cf. A352860, A367835.
%K A367830 nonn
%O A367830 0,2
%A A367830 _Seiichi Manyama_, Dec 02 2023