Search: id:A003282
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%I A003282 M4360
%S A003282 1,1,7,19,25,67,205,3389,24469,151805,3378595,7529,239951407,10532699,
%T A003282 37801901,553870985,4729453873,54466083977,1974303293437,73525821439,
%U A003282 36638106109621,262239579597193,2947415049407,90871116596785
%N A003282 Numerators of coefficients of Green function for cubic lattice.
%D A003282 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003282 G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. 
               Soc., 273 (1972), 583-610.
%F A003282 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 numerator of 
               C(n) - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008
%o A003282 (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(numerator(C[n+3])",
               ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008
%Y A003282 Cf. A003283.
%Y A003282 Sequence in context: A032642 A127633 A055246 this_sequence A006063 A038593 
               A014439
%Y A003282 Adjacent sequences: A003279 A003280 A003281 this_sequence A003283 A003284 
               A003285
%K A003282 nonn,easy,frac
%O A003282 0,3
%A A003282 N. J. A. Sloane (njas(AT)research.att.com).
%E A003282 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008

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