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

0,2

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

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 *)

Crossrefs

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

Sequence in context: A349292 A328121 A374866 * A198522 A187655 A046249

Adjacent sequences: A127087 A127088 A127089 * A127091 A127092 A127093

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2007

Status

approved