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 A110578 #10 Sep 01 2017 03:04:04
%S A110578 1,3,7,18,58,230,1050,5277,28613,165895,1023073,6682569,46054782,
%T A110578 333712277,2534298321,20114189445,166423322294,1432251611705,
%U A110578 12795182247109,118443504257081,1134237257303476,11219647646806519
%N A110578 {a(2,n)}, where a(m,n) is as defined in sequence A110576.
%H A110578 G. C. Greubel, <a href="/A110578/b110578.txt">Table of n, a(n) for n = 0..570</a>
%t A110578 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]; Table[a[2, n], {n, 0, 50}] (* _G. C. Greubel_, Sep 01 2017 *)
%Y A110578 Cf. A110576, A110577, A110579, A110580.
%K A110578 easy,nonn
%O A110578 0,2
%A A110578 _Leroy Quet_, Jul 28 2005
%E A110578 More terms from _Ryan Propper_, Sep 25 2005