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%I M5063 #16 Aug 06 2017 22:46:03
%S 1,18,648,2160,1399680,75582720,149653785600,2693768140800,
%T 8620058050560,7913213290414080,284875678454906880,
%U 25638811060941619200,155678860762037511782400,112088779748667008483328
%N Denominators 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).
%F Recurrence for the fraction A003284(n)/A003298(n) is the same as for A003299(n)/A003300(n). - _R. J. Mathar_, Dec 08 2005
%F 36*n*(n+1)*(2n+1)*A003284(n+1)/a(n+1)-4n*(20n^2+1)*A003284(n)/a(n)+(2n-1)^3*A003284(n-1)/a(n-1) = 0. - _R. J. Mathar_, Dec 08 2005
%p Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 1/18 : print(denom(Dn)) ; for nplus1 from 2 to 20 do n := nplus1-1 : Dnplus1 := (4*n*(20*n^2+1)*Dn-(2*n-1)^3*Dnminus1)/(36*n*nplus1*(2*n+1)) : print(denom(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : # _R. J. Mathar_
%Y Cf. A003284.
%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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