A225698 Denominators of mass formula for vacuum graphs for a phi^4 field theory.

1, 8, 384, 3072, 98304, 2359296, 113246208, 100663296, 19327352832, 1391569403904, 22265110462464, 534362651099136, 17099604835172352, 136796838681378816, 6566248256706183168, 157589958160948396032, 6723838214867131564032

Offset

0,2

Links

Table of n, a(n) for n=0..16.

C. M. Bender and K. A. Milton, Continued fraction as a discrete nonlinear transform, arXiv:hep-th/9304052, 1993. See V_n with N=2.

Example

1, 1/8, 35/384, 385/3072, 25025/98304, 1616615/2359296, 260275015/113246208,
929553625/100663296, 835668708875/19327352832, 321732452916875/1391569403904,
30950661970603375/22265110462464, 4960547004924886375/534362651099136, ...

Mathematica

V[n_] := (4 n - 1)!!/(4!^n n!);
Table[V[n] // Denominator, {n, 0, 16}] (* Jean-François Alcover, Sep 05 2018 *)

Crossrefs

Cf. A225697.

Sequence in context: A072447 A326877 A332138 * A151932 A265865 A096205

Adjacent sequences: A225695 A225696 A225697 * A225699 A225700 A225701

Keyword

nonn,frac

Author

N. J. A. Sloane, May 30 2013

Status

approved