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%I M4664 #17 Oct 21 2023 23:45:57
%S 1,9,175,2025,102235,1356047,37160123,6771931925,772428184055,
%T 189690563847015,105217453376898775,1548913291275244825,
%U 2112565685454158552975,1658173107161491979625
%N Numerators of coefficients of Green function for cubic lattice.
%D G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008, <a href="/A003280/b003280.txt">Table of n, a(n) for n = 0..23</a>
%F Let {B0(n)} be the sequence of rational numbers defined by the recurrence: 16*n*(n+1)*(2n+1)*B0(n+1) - n*(60*n^2+9)*B0(n) + 3*(2n-1)^3*B0(n-1) + (n-1)*(2n-1)*(2n-3)*B0*(n-2) = 0 for n >= 1 with B0(0) = 1 and B0(1) = 9/32. Then a(n) is the numerator of B0(n). - Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
%o (PARI) B0=vector(100);B0[3]=1;B0[4]=9/32;print1("1,9,");for(n=2,30,B0[n+3]=((n-1)*(60*(n-1)^2+9)*B0[n+2]-3*(2*n-3)^3*B0[n+1]-(n-2)*(2*n-3)*(2*n-5)*B0[n])/(16*(n-1)*n*(2*n-1));print1(numerator(B0[n+3])",")) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
%K nonn,easy,frac
%O 0,2
%A _N. J. A. Sloane_
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
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