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 A127127 Column 0 of triangle A127126. 10

%I

%S 1,1,3,13,77,587,5484,60582,771261,11102828,178144861,3149976426,

%T 60825085447,1273060083700,28700081677767,693217471426114,

%U 17857152401368800,488620956679818191,14152040894854881662,432509671322583878614,13908794132963653028146

%N Column 0 of triangle A127126.

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

%H G. C. Greubel, <a href="/A127127/b127127.txt">Table of n, a(n) for n = 0..80</a>

%t 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 *)

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

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jan 05 2007

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Last modified August 18 02:34 EDT 2022. Contains 356204 sequences. (Running on oeis4.)