A226257 Denominators of mass formula for vacuum graphs for a phi^6 field theory.

1, 48, 7680, 1105920, 1061683200, 5662310400, 1630745395200, 391378894848000, 50096498540544000, 108208436847575040000, 51940049686836019200000, 831040794989376307200000, 2393397489569403764736000000, 22976615899866276141465600000

Offset

0,2

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] // Denominator, {n, 0, 13}] (* Jean-François Alcover, Sep 05 2018 *)

Crossrefs

Cf. A226256, A225697, A225698.

Sequence in context: A266045 A130417 A299943 * A293094 A233199 A232160

Adjacent sequences: A226254 A226255 A226256 * A226258 A226259 A226260

Keyword

nonn,frac

Author

N. J. A. Sloane, Jun 02 2013

Status

approved