A127083 Column 0 and row sums of triangle A127082.

1, 1, 2, 5, 16, 64, 308, 1728, 11046, 79065, 625049, 5397939, 50476959, 507435548, 5451145709, 62260278817, 752770290544, 9598571168318, 128651201239737, 1807273852520354, 26541004709809462, 406530038758976731

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..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, 0], {n, 0, 25}] (* G. C. Greubel, Jan 30 2020 *)

Crossrefs

Cf. A127082;

Columns of A127082: A127084, A127085, A127086.

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

Sequence in context: A295131 A178119 A185998 * A131178 A003149 A027046

Adjacent sequences: A127080 A127081 A127082 * A127084 A127085 A127086

Keyword

nonn

Author

Paul D. Hanna, Jan 04 2007

Status

approved