Search: id:A003283
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%I A003283 M2116
%S A003283 1,2,20,70,112,352,1232,22880,183040,1244672,30098432,72352,2472371200,
%T A003283 115763200,441223168,6838959104,61568122880,745298329600,28321336524800,
%U A003283 1103041527808,573581594460160,4275790067793920,49961677422592
%N A003283 Denominators of coefficients of Green's function for cubic lattice.
%D A003283 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003283 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%F A003283 Let C(n) be the sequence of rational numbers defined by the recurrence: 
               8(n+1)(2n+1)(2n+3)C(n+1)-6(2n+1)(5n^2+5n+2)C(n)+24n^3C(n-1)+2n(n-1)(2n-1)C(n-2)=0 
               n>=0 with C(0)=1 and C(n)=0 if n<0. Then a(n) is the denominator 
               of C(n) - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008
%o A003283 (PARI) C=vector(100);C[3]=1;print1(C[3]",");for(n=1,30,C[n+3]=(6*(2*n-1)*(5*n^2-5*n+2)*C[n+2]-24*(n-1)^3*C[n+\
               1]-2*(n-1)*(n-2)*(2*n-3)*C[n])/(8*n*(2*n-1)*(2*n+1));print1(denominator(C[n+3])",
               ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008
%Y A003283 Cf. A003282.
%Y A003283 Sequence in context: A133217 A001504 A136905 this_sequence A135188 A161007 
               A098077
%Y A003283 Adjacent sequences: A003280 A003281 A003282 this_sequence A003284 A003285 
               A003286
%K A003283 nonn,easy,frac
%O A003283 0,2
%A A003283 N. J. A. Sloane (njas(AT)research.att.com).
%E A003283 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008

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