A226256 Numerators of mass formula for vacuum graphs for a phi^6 field theory.

1, 1, 77, 17017, 52055003, 1509595087, 3603403472669, 10151817126357907, 20516822412369330047, 905797192683693552245003, 11169385182982625192733131993, 5636477922794232040441965063013, 616692686010839721776795839509315343, 266648429851302313546720724144758580231

Offset

0,3

Links

Table of n, a(n) for n=0..13.

C. M. Bender and K. A. Milton, Continued fraction as a discrete nonlinear transform, arXiv:hep-th/9304062, 1993. See V_n with N=3.

Example

1, 1/48, 77/7680, 17017/1105920, 52055003/1061683200, 1509595087/5662310400,
3603403472669/1630745395200, 10151817126357907/391378894848000, ...

Mathematica

V[n_] := (6 n - 1)!!/(6!^n n!);
Table[V[n] // Numerator, {n, 0, 13}] (* Jean-François Alcover, Sep 05 2018 *)

Crossrefs

Cf. A226257, A225697, A225698.

Sequence in context: A099638 A046191 A115616 * A120799 A266054 A267956

Adjacent sequences: A226253 A226254 A226255 * A226257 A226258 A226259

Keyword

nonn,frac

Author

N. J. A. Sloane, Jun 02 2013

Status

approved