Search: id:A003298
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%I A003298 M5063
%S A003298 1,18,648,2160,1399680,75582720,149653785600,2693768140800,
%T A003298 8620058050560,7913213290414080,284875678454906880,25638811060941619200,
%U A003298 155678860762037511782400,112088779748667008483328
%N A003298 Denominators of coefficients of Green function for cubic lattice.
%D A003298 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%D A003298 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A003298 Recurrence for the fraction A003284(n)/A003298(n) is the same as for 
               A003299(n)/A003300(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 08 2005
%F A003298 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 (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
%p A003298 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 : (Mathar)
%Y A003298 Cf. A003284.
%Y A003298 Sequence in context: A133401 A061079 A166767 this_sequence A049869 A041615 
               A041612
%Y A003298 Adjacent sequences: A003295 A003296 A003297 this_sequence A003299 A003300 
               A003301
%K A003298 nonn,easy,frac
%O A003298 0,2
%A A003298 N. J. A. Sloane (njas(AT)research.att.com).
%E A003298 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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