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A225698 Denominators of mass formula for vacuum graphs for a phi^4 field theory. 7

%I #16 Sep 05 2018 10:34:49

%S 1,8,384,3072,98304,2359296,113246208,100663296,19327352832,

%T 1391569403904,22265110462464,534362651099136,17099604835172352,

%U 136796838681378816,6566248256706183168,157589958160948396032,6723838214867131564032

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

%H C. M. Bender and K. A. Milton, <a href="http://arxiv.org/abs/hep-th/9304052">Continued fraction as a discrete nonlinear transform</a>, arXiv:hep-th/9304052, 1993. See V_n with N=2.

%e 1, 1/8, 35/384, 385/3072, 25025/98304, 1616615/2359296, 260275015/113246208,

%e 929553625/100663296, 835668708875/19327352832, 321732452916875/1391569403904,

%e 30950661970603375/22265110462464, 4960547004924886375/534362651099136, ...

%t V[n_] := (4 n - 1)!!/(4!^n n!);

%t Table[V[n] // Denominator, {n, 0, 16}] (* _Jean-François Alcover_, Sep 05 2018 *)

%Y Cf. A225697.

%K nonn,frac

%O 0,2

%A _N. J. A. Sloane_, May 30 2013

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)