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A293286 a(n) = A181544(2n, 2n-1). 0
20, 8464, 4050864, 2116980800, 1173644492800, 678353946298560, 404352269157205152, 246796318508780847360, 153477802845690943118400, 96903346351876187722368000, 61954834924471706682462940800, 40029904663914104968204952365824, 26096917229103772343967114415006304 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..13.

David J. Gross and Vladimir Rosenhaus, The Bulk Dual of SYK: Cubic Couplings, arXiv:1702.08016 [hep-th], 2017, p. 33.

MATHEMATICA

t[n_, k_] := SeriesCoefficient[Sum[Binomial[n + j, j]^3 x^j, {j, 0, n + k}] (1 - x)^(3n + 1), {x, 0, k}];

a[n_] := t[2n, 2n - 1];

Array[a, 13] (* Jean-Fran├žois Alcover, Feb 14 2019 *)

PROG

(Sage)

def a(n) :

    R.<x> = QQ[]; p = 2*n; q = 2*n-1

    return ((1-x)^(3*p+1) * sum(binomial(p+r, r)^3 * x^r for r in [0..p+q]))[q]

CROSSREFS

Sequence in context: A234459 A013725 A307914 * A250021 A203308 A109122

Adjacent sequences:  A293283 A293284 A293285 * A293287 A293288 A293289

KEYWORD

nonn

AUTHOR

Eric M. Schmidt, Oct 04 2017

STATUS

approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)