A127084 Column 1 of triangle A127082.

1, 2, 7, 28, 127, 650, 3737, 23996, 170866, 1338578, 11446714, 106063630, 1057817614, 11288886056, 128243813228, 1543828592478, 19616461337281, 262178561430244, 3674568043513202, 53861542554953612, 823710227331537712

Offset

1,2

Comments

Convolution square of A127087.

Links

G. C. Greubel, Table of n, a(n) for n = 1..80

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[n, 1], {n, 1, 25}] (* G. C. Greubel, Jan 30 2020 *)

Crossrefs

Cf. A127082.

Columns of A127082: A127083, A127085, A127086.

Cf. A127087, A127088, A127089, A127090, A127091.

Sequence in context: A112565 A227845 A118926 * A362555 A252737 A217203

Adjacent sequences: A127081 A127082 A127083 * A127085 A127086 A127087

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2007

Status

approved