A127090 Central terms of triangle A127082; a(n) = A127082(2*n,n).

1, 2, 15, 192, 3635, 92730, 2998366, 117857600, 5465922021, 292505725990, 17755023166100, 1205937035790936, 90649549598544937, 7473077539914412930, 670529221966656416145, 65059053545271098896848

Offset: 0

Author

Paul D. Hanna, Jan 04 2007

Keywords

• nonn

Comments

a(n) is divisible by (n+1): a(n)/(n+1) = A127091(n).

Links

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

Crossrefs

Cf. A127082, A127083, A127084, A127085, A127086, A127087, A127088, A127089, A127091.

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,0,15}] (* G. C. Greubel, Jan 30 2020 *)