Search: id:A003284
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%I A003284 M4777
%S A003284 1,1,11,19,7861,301259,451526509,6427914623,16794274237,12896029408223,
%T A003284 395798985324353,30839190064680907,164178854787337441961,
%U A003284 104746805369703910637,30345665255129739404489
%N A003284 Numerators of coefficients of Green function for cubic lattice.
%D A003284 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003284 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%F A003284 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 A003284 36*n*(n+1)*(2n+1)*a(n+1)/A003298(n+1)-4*n*(20*n^2+1)*a(n)/A003298(n)+(2*n-1)^3*a(n-1)/
               A003298(n-1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 
               08 2005
%p A003284 Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 1/18 : print(numer(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(numer(Dnplus1)) ; Dnminus1 := Dn : 
               Dn := Dnplus1 : od : (Mathar)
%Y A003284 Cf. A003298.
%Y A003284 Sequence in context: A032370 A129908 A129909 this_sequence A063589 A102815 
               A105957
%Y A003284 Adjacent sequences: A003281 A003282 A003283 this_sequence A003285 A003286 
               A003287
%K A003284 nonn,easy,frac
%O A003284 0,3
%A A003284 N. J. A. Sloane (njas(AT)research.att.com).
%E A003284 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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