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A301393 a(n) = Product_{k=1..L} hypergeom([-n, -n], [1], k) with L = 4. 1
1, 120, 56628, 41983200, 38244074820, 39137678949600, 43169977801676880, 50180219346847075200, 60633191914827463116900, 75481112829367580702796000, 96214948596107910313766029008, 125026188575803676432586848856960, 165076420520740156599642652986224784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

A. Bostan, S. Boukraa, J.-M. Maillard, J.-A. Weil, Diagonals of rational functions and selected differential Galois groups, arXiv preprint arXiv:1507.03227 [math-ph], 2015.

Jacques-Arthur Weil, Supplementary Material for the Paper "Diagonals of rational functions and selected differential Galois groups"

MAPLE

a := n -> mul(hypergeom([-n, -n], [1], k), k=1..4):

seq(simplify(a(k)), k=0..11);

MATHEMATICA

a[n_] := Product[Hypergeometric2F1[-n, -n, 1, k], {k, 1, 4}];

Table[a[n], {n, 0, 12}] (* Jean-Fran├žois Alcover, Mar 20 2018 *)

CROSSREFS

With the parameter L in the name: A000012 (L=0), A000984 (L=1), A268555 (L=2), A301392 (L=3), this seq. (L=4).

Sequence in context: A006176 A275455 A109897 * A074653 A065961 A333043

Adjacent sequences:  A301390 A301391 A301392 * A301394 A301395 A301396

KEYWORD

nonn

AUTHOR

Peter Luschny, Mar 20 2018

STATUS

approved

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Last modified May 6 17:00 EDT 2021. Contains 343586 sequences. (Running on oeis4.)