OFFSET
0,2
REFERENCES
G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008, Table of n, a(n) for n = 0..23
FORMULA
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
PROG
(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
CROSSREFS
KEYWORD
nonn,easy,frac
AUTHOR
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 18 2008
STATUS
approved