Search: id:A003301
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%I A003301 M1907
%S A003301 1,2,8,496,9088,12032,12004352,4139008,51347456,378357612544,
%T A003301 4097254359040,2921482158080,9353679601664,4929181267787776,
%U A003301 5689554887507968,41627810786525052928,37882178449895849984
%N A003301 Numerators of coefficients of Green function for cubic lattice.
%D A003301 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003301 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%H A003301 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 A003301 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 (mathar(AT)strw.leidenuniv.nl), Dec 
               08 2005
%p A003301 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 : (Mathar)
%Y A003301 Cf. A003302.
%Y A003301 Sequence in context: A014185 A009808 A035129 this_sequence A000890 A033542 
               A098870
%Y A003301 Adjacent sequences: A003298 A003299 A003300 this_sequence A003302 A003303 
               A003304
%K A003301 nonn,easy,frac
%O A003301 0,2
%A A003301 N. J. A. Sloane (njas(AT)research.att.com).
%E A003301 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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