A110580 - OEIS

%I #10 Sep 01 2017 03:04:20

%S 1,5,16,45,132,449,1816,8460,43717,244869,1469094,9375888,63337464,

%T 451011317,3372983491,26409145110,215868629023,1837579724641,

%U 16254473067368,149114870667176,1416212525570460,13902957827280263

%N {a(4,n)}, where a(m,n) is as defined in sequence A110576.

%H G. C. Greubel, <a href="/A110580/b110580.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]; 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]; a[4, 0] := 1; a[4, n_] := a[4, n] = a[4, n - 1] + a[3, n]; Table[a[4, n], {n, 0, 50}] (* _G. C. Greubel_, Sep 01 2017 *)

%Y Cf. A110576, A110577, A110578, A110579.

%K easy,nonn

%O 0,2

%A _Leroy Quet_, Jul 28 2005

%E More terms from _Ryan Propper_, Sep 25 2005