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 A346747 #5 Aug 01 2021 16:40:04
%S A346747 1,1,2,6,20,79,357,1783,9788,58361,374581,2571851,18779928,145163975,
%T A346747 1183028095,10129297307,90843458256,851083079649,8309588493841,
%U A346747 84370700833147,889152061199144,9709123938880103,109677977422359703,1279880472867083111,15408386793144717536
%N A346747 E.g.f.: exp( (x * exp(x) + sinh(x)) / 2 ).
%C A346747 Exponential transform of A110654.
%F A346747 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * A110654(k) * a(n-k).
%t A346747 nmax = 24; CoefficientList[Series[Exp[(x Exp[x] + Sinh[x])/2], {x, 0, nmax}], x] Range[0, nmax]!
%t A346747 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n - 1, k - 1] Ceiling[k/2] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 24}]
%Y A346747 Cf. A000248, A003724, A110654, A346746, A346748.
%K A346747 nonn
%O A346747 0,3
%A A346747 _Ilya Gutkovskiy_, Aug 01 2021