A162838 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 34, 1122, 36465, 1184832, 38489088, 1250311920, 40616040960, 1319401053696, 42860382335232, 1392307798818816, 45228738040578048, 1469243184987697152, 47727963019128471552, 1550429824846292189184, 50365288810019957047296

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170753, although the two sequences are eventually different.

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

Links

• Index entries for linear recurrences with constant coefficients, signature (32, 32, -528).

Programs

Mathematica

coxG[{3,528,-32}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Oct 20 2015 *)

Formula

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(528*t^3 - 32*t^2 - 32*t + 1)