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 A110579 #10 Sep 01 2017 03:04:14
%S A110579 1,4,11,29,87,317,1367,6644,35257,201152,1224225,7906794,53961576,
%T A110579 387673853,2921972174,23036161619,189459483913,1621711095618,
%U A110579 14416893342727,132860397599808,1267097654903284
%N A110579 {a(3,n)}, where a(m,n) is as defined in sequence A110576.
%H A110579 G. C. Greubel, <a href="/A110579/b110579.txt">Table of n, a(n) for n = 0..570</a>
%t A110579 a[0, 0] := 1; a[0, 1] := 1; a[0, n_] := a[0, n] = Sum[Binomial[2*n - k - 3, n - 2]*a[0, k], {k, 0, n - 1}]; a[1, 0] := 1; a[1, n_] := a[1, n] = a[1, n - 1] + a[0, n]; a[2, 0] := 1; a[2, n_] := a[2, n] = a[2, n - 1] + a[1, n]; a[3, 0] := 1; a[3, n_] := a[3, n] = a[3, n - 1] + a[2, n];
%t A110579 Table[a[3, n], {n, 0, 50}] (* _G. C. Greubel_, Sep 01 2017 *)
%Y A110579 Cf. A110576, A110577, A110578, A110580.
%K A110579 easy,nonn
%O A110579 0,2
%A A110579 _Leroy Quet_, Jul 28 2005
%E A110579 More terms from _Ryan Propper_, Sep 25 2005