A055829 a(n) = T(2n+5,n), array T as in A055818.

1, 95, 768, 5216, 33024, 201792, 1208320, 7145792, 41919744, 244590496, 1421823232, 8243669664, 47708339712, 275738420864, 1592186658816, 9187634766976, 52992487665152, 305556178607328, 1761501729738496

Offset: 0

Author

Clark Kimberling, May 28 2000

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..250

Crossrefs

Cf. A055818, A055819, A055820, A055821, A055822, A055823, A055824, A055825, A055826, A055827, A055828.

Programs

Maple

T:= proc(i, j) option remember;
      if i=0 or j=0 then 1
    else add(add(T(h,m), m=0..j), h=0..i-1)
  fi; end:
seq(T(n+5, n), n=0..30); # G. C. Greubel, Jan 23 2020

Mathematica

T[i_, j_]:= T[i, j]= If[i==0 || j==0, 1, Sum[T[h, m], {h,0,i-1}, {m,0,j}]]; Table[T[n+5, n], {n,0,30}] (* G. C. Greubel, Jan 23 2020 *)

Sage

@CachedFunction
def T(i, j):
    if (i==0 or j==0): return 1
    else: return sum(sum(T(h,m) for m in (0..j)) for h in (0..i-1))
[T(n+5, n) for n in (0..30)] # G. C. Greubel, Jan 23 2020