Search: id:A003302
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%I A003302 M4655
%S A003302 1,9,81,8505,229635,413343,531972441,227988189,3419822835,
%T A003302 29824274944035,375785864294841,307461161695779,1116569481947829,
%U A003302 660923243352964935,849758455739526345,6875395665388507657395
%N A003302 Denominators of coefficients of Green function for cubic lattice.
%D A003302 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003302 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%F A003302 9(n+1)(2n+1)(2n+3)A003301(n+1)/a(n+1)-2(2n+1)(10n^2+10n+3)A003301(n)/
               a(n)+4n^3A003301(n-1)/a(n-1)=0 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 08 2005
%p A003302 Dnminus1 := 1 : print(denom(Dnminus1)) ; Dn := 2/9 : print(denom(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(denom(Dnplus1)) ; Dnminus1 := 
               Dn : Dn := Dnplus1 : od : (Mathar)
%Y A003302 Cf. A003301.
%Y A003302 Sequence in context: A069659 A110853 A167723 this_sequence A053915 A067216 
               A076088
%Y A003302 Adjacent sequences: A003299 A003300 A003301 this_sequence A003303 A003304 
               A003305
%K A003302 nonn,easy,frac
%O A003302 0,2
%A A003302 N. J. A. Sloane (njas(AT)research.att.com).
%E A003302 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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