A127127 Column 0 of triangle A127126.

1, 1, 3, 13, 77, 587, 5484, 60582, 771261, 11102828, 178144861, 3149976426, 60825085447, 1273060083700, 28700081677767, 693217471426114, 17857152401368800, 488620956679818191, 14152040894854881662, 432509671322583878614, 13908794132963653028146

Offset

0,3

Comments

For n > 0, equals one-half of the row sums of triangle A127126.

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-1)*Sum[T[r, c], {c, k+1, r}], {r, k+1, n}] + x^(n+1))^(k+1), x, n-k]]; Table[T[n, 0], {n, 0, 20}] (* G. C. Greubel, Jan 28 2020 *)

Crossrefs

Cf. A127126, A127128, A127129, A127130, A127131, A127132, A127133, A127134, A127135.

Sequence in context: A032035 A351421 A273953 * A043301 A141762 A062872

Adjacent sequences: A127124 A127125 A127126 * A127128 A127129 A127130

Keyword

nonn

Author

Paul D. Hanna, Jan 05 2007

Status

approved