Search: id:A003299
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%I A003299 M4331
%S A003299 0,1,7,5,3635,557485,7596391,19681954039,32139541115,11613832153165,
%T A003299 3386240626860905,2153823021586357,11330361348611303,
%U A003299 9397464146366084237,9528720716522267278849,309116925259099828695359
%N A003299 Numerators of coefficients of Green function for cubic lattice.
%D A003299 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003299 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%F A003299 36*n*(n+1)*(2*n+1)*a(n+1)-4*n*(20*n^2+1)*a(n)+(2*n-1)^3*a(n+1)=0 - R. 
               J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005
%p A003299 Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 7/18 : print(numer(Dn)) 
               ; n := 2 : 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(numer(Dnplus1)) 
               ; Dnminus1 := Dn : Dn := Dnplus1 : od : (Mathar)
%Y A003299 Cf. A003300.
%Y A003299 Sequence in context: A007553 A002019 A012878 this_sequence A154017 A100222 
               A154850
%Y A003299 Adjacent sequences: A003296 A003297 A003298 this_sequence A003300 A003301 
               A003302
%K A003299 nonn,easy,frac
%O A003299 0,3
%A A003299 N. J. A. Sloane (njas(AT)research.att.com).
%E A003299 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 08 2005

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