0,3

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.

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) + 24*n^3*C(n-1) + 2*n*(n-1)*(2n-1)*C(n-2) = 0 for 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

(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

Cf. A003283.

Sequence in context: A032642 A127633 A055246 * A006063 A181123 A038593

Adjacent sequences: A003279 A003280 A003281 * A003283 A003284 A003285

nonn,easy,frac

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 17 2008

approved