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A127134 Central terms of triangle A127126; a(n) = A127126(2n,n). 7
1, 2, 18, 284, 6680, 211398, 8439235, 407247048, 23056215138, 1498169721930, 109876657252604, 8976437481923520, 808257688877060396, 79516093326076500590, 8485004019719253675540, 976009472808194554659440 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) is divisible by (n+1): a(n)/(n+1) = A127135(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-1)*Sum[T[r, c], {c, k+1, r}], {r, k+1, n}] +x^(n+1))^(k+1), x, n-k]]; Table[T[2*n, n], {n, 0, 20}] (* G. C. Greubel, Jan 28 2020 *)

CROSSREFS

Cf. A127126, A127127, A127128, A127129, A127130, A127131, A127132, A127133, A127135.

Sequence in context: A295183 A351768 A294193 * A131455 A084947 A123385

Adjacent sequences:  A127131 A127132 A127133 * A127135 A127136 A127137

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jan 05 2007

STATUS

approved

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