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 A110577 #10 Sep 01 2017 03:03:53
%S A110577 1,2,4,11,40,172,820,4227,23336,137282,857178,5659496,39372213,
%T A110577 287657495,2200586044,17579891124,146309132849,1265828289411,
%U A110577 11362930635404
%N A110577 {a(1,n)}, where a(m,n) is defined in sequence A110576.
%H A110577 G. C. Greubel, <a href="/A110577/b110577.txt">Table of n, a(n) for n = 0..570</a>
%t A110577 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]; Table[a[1, n], {n, 0, 50}] (* _G. C. Greubel_, Aug 31 2017 *)
%Y A110577 Cf. A110576, A110578, A110579, A110580.
%K A110577 easy,nonn
%O A110577 0,2
%A A110577 _Leroy Quet_, Jul 28 2005
%E A110577 More terms from _Ryan Propper_, Sep 25 2005