A162837 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 33, 1056, 33264, 1047552, 32981520, 1038402288, 32693312256, 1029324316944, 32407498970352, 1020325639027200, 32124182416719888, 1011405630238865136, 31843342675365644544, 1002563602995046735632, 31564958123184306678000

Offset

0,2

Comments

The initial terms coincide with those of A170752, although the two sequences are eventually different.

Computed with Magma using commands similar to those used to compute A154638.

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (31, 31, -496).

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(496*t^3 - 31*t^2 - 31*t + 1)

Mathematica

coxG[{3, 496, -31}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Feb 06 2022 *)

Crossrefs

Sequence in context: A299074 A101632 A159675 * A324951 A163216 A163567

Adjacent sequences: A162834 A162835 A162836 * A162838 A162839 A162840

Keyword

nonn

Author

John Cannon and N. J. A. Sloane, Dec 03 2009

Status

approved