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A055829
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a(n) = T(2n+5,n), array T as in A055818.
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8
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1, 95, 768, 5216, 33024, 201792, 1208320, 7145792, 41919744, 244590496, 1421823232, 8243669664, 47708339712, 275738420864, 1592186658816, 9187634766976, 52992487665152, 305556178607328, 1761501729738496
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OFFSET
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0,2
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LINKS
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MAPLE
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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:
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MATHEMATICA
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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 *)
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PROG
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(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))
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CROSSREFS
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Cf. A055818, A055819, A055820, A055821, A055822, A055823, A055824, A055825, A055826, A055827, A055828.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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