A165140 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

1, 33, 1056, 33792, 1081344, 34603008, 1107296256, 35433480192, 1133871365616, 36283883682816, 1161084277309968, 37154696856634368, 1188950298859192320, 38046409545794715648, 1217485104899048865792, 38959523338645338587136

Offset: 0

Author

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

Keywords

• nonn

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

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

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)/(496*t^8 -

31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)