Search: id:A003300
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%I A003300 M5053
%S A003300 1,1,18,24,27216,5878656,105815808,346652587008,693305174016,
%T A003300 299507835174912,102431679629819904,75255927891296256,
%U A003300 451535567347777536,422637291037519773696,479270688036547423371264
%N A003300 Denominators of coefficients of Green function for cubic lattice.
%D A003300 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%D A003300 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A003300 36*n*(n+1)*(2n+1)*A003299(n+1)/a(n+1)-4*n*(20*n^2+1)*A003299(n)/a(n)+(2*n-1)^3*A003299(n-1)/
               a(n-1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
%p A003300 print(1) ; Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 7/18 : print(denom(Dn)) 
               ; for nplus1 from 3 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 A003300 Cf. A003299.
%Y A003300 Sequence in context: A109144 A166471 A072422 this_sequence A084379 A109769 
               A093018
%Y A003300 Adjacent sequences: A003297 A003298 A003299 this_sequence A003301 A003302 
               A003303
%K A003300 nonn,easy,frac
%O A003300 0,3
%A A003300 N. J. A. Sloane (njas(AT)research.att.com).
%E A003300 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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