OFFSET
0,2
REFERENCES
N. Bourbaki, Groupes et Algèbres de Lie, Chap. 4, 5 and 6, Hermann, Paris, 1968. See Chap. VI, Section 4, Problem 10b, page 231, W_a(t).
J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See Table 3.1, page 59.
LINKS
Ray Chandler, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8, -28, 55, -62, 28, 27, -54, 27, 27, -54, 27, 27, -53, 19, 56, -117, 118, -64, 10, -10, 63, -110, 89, -1, -81, 81, 0, -82, 89, -29, -18, -11, 99, -173, 173, -99, 11, 18, 29, -89, 82, 0, -81, 81, 1, -89, 110, -63, 10, -10, 64, -118, 117, -56, -19, 53, -27, -27, 54, -27, -27, 54, -27, -28, 62, -55, 28, -8, 1).
FORMULA
The growth series for the affine Coxeter group of type D_k (k >= 3) has g.f. = Product_i (1-x^{m_i+1})/((1-x)*(1-x^{m_i})) where the m_i are [1,3,5,...,2k-3,k-1].
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jan 10 2016
STATUS
approved