A165168 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

1, 36, 1260, 44100, 1543500, 54022500, 1890787500, 66177562500, 2316214686870, 81067514018400, 2837362989872880, 99307704618561600, 3475769660705034000, 121651938091614420000, 4257817832049342750000, 149023624081226328000000

Offset: 0

Author

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

Keywords

• nonn

Comments

The initial terms coincide with those of A170755, 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 (34, 34, 34, 34, 34, 34, 34, -595).

Programs

Mathematica

coxG[{8,595,-34}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jun 08 2020 *)

Formula

G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^8 -

34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)