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 A344492 #5 May 21 2021 08:07:01
%S A344492 1,1,1,1,1,2,4,8,16,32,70,170,452,1277,3731,11145,34031,106888,348016,
%T A344492 1180538,4173726,15320402,58053312,225891952,899492200,3660479037,
%U A344492 15228099789,64831944993,282763031581,1263953233142,5788015999020,27121892020940,129849269955372,634208223729772
%N A344492 a(n) = 1 + Sum_{k=0..n-5} binomial(n-4,k) * a(k).
%F A344492 G.f. A(x) satisfies: A(x) = (1 + x^4 * A(x/(1 - x))) / ((1 - x) * (1 + x^4)).
%t A344492 a[n_] := a[n] = 1 + Sum[Binomial[n - 4, k] a[k] , {k, 0, n - 5}]; Table[a[n], {n, 0, 33}]
%t A344492 nmax = 33; A[_] = 0; Do[A[x_] = (1 + x^4 A[x/(1 - x)])/((1 - x) (1 + x^4)) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%Y A344492 Cf. A000629, A210542, A344489, A344490, A344491, A344493.
%K A344492 nonn
%O A344492 0,6
%A A344492 _Ilya Gutkovskiy_, May 21 2021