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%I M1907 #17 Aug 06 2017 22:47:16
%S 1,2,8,496,9088,12032,12004352,4139008,51347456,378357612544,
%T 4097254359040,2921482158080,9353679601664,4929181267787776,
%U 5689554887507968,41627810786525052928,37882178449895849984
%N Numerators of coefficients of Green function for cubic lattice.
%D G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H G. S. Joyce and R. T. Delves, <a href="http://dx.doi.org/10.1088/0305-4470/37/11/008">Exact product forms for the simple cubic lattice Green function: I</a>, J Phys A: Math Gen 37 (2004) 3645-3671
%F 9(n+1)(2n+1)(2n+3)*a(n+1)/A003302(n+1)-2(2n+1)(10n^2+10n+3)a(n)/A003302(n)+4n^3*a(n-1)/A003302(n-1) = 0. - _R. J. Mathar_, Dec 08 2005
%p Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 2/9 : print(numer(Dn)) ; for nplus1 from 2 to 20 do n := nplus1-1 : Dnplus1 := (2*(2*n+1)*(10*n^2+10*n+3)*Dn-4*n^3*Dnminus1)/(9*nplus1*(2*n+1)*(2*n+3)) : print(numer(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : # _R. J. Mathar_
%Y Cf. A003302.
%K nonn,easy,frac
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _R. J. Mathar_, Dec 08 2005
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