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{a(1,n)}, where a(m,n) is defined in sequence A110576.
5

%I #10 Sep 01 2017 03:03:53

%S 1,2,4,11,40,172,820,4227,23336,137282,857178,5659496,39372213,

%T 287657495,2200586044,17579891124,146309132849,1265828289411,

%U 11362930635404

%N {a(1,n)}, where a(m,n) is defined in sequence A110576.

%H G. C. Greubel, <a href="/A110577/b110577.txt">Table of n, a(n) for n = 0..570</a>

%t 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 Cf. A110576, A110578, A110579, A110580.

%K easy,nonn

%O 0,2

%A _Leroy Quet_, Jul 28 2005

%E More terms from _Ryan Propper_, Sep 25 2005