A127091 Derived from central terms (A127090) of triangle A127082; a(n) = A127090(n)/(n+1).

1, 1, 5, 48, 727, 15455, 428338, 14732200, 607324669, 29250572599, 1614093015100, 100494752982578, 6973042276811149, 533791252851029495, 44701948131110427743, 4066190846579443681053, 399302066160095572863595

Offset: 0

Author

Paul D. Hanna, Jan 04 2007

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..50

Crossrefs

Cf. A127082, A127083, A127084, A127085, A127086, A127087, A127088, A127089, A127090.

Programs

Mathematica

T[n_, k_]:= T[n, k]= If[k==n, 1, Coefficient[(1 + x*Sum[x^(r-k)*Sum[T[r, c], {c,k,r}], {r,k,n-1}] + x^(n+1))^(k+1), x, n-k]]; Table[T[2*n, n]/(n+1), {n, 0, 15}] (* G. C. Greubel, Jan 30 2020 *)

Formula

a(n) = A127082(2*n,n)/(n+1).