login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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.
0

%I #7 Nov 23 2016 15:30:00

%S 1,34,1122,36465,1184832,38489088,1250311920,40616040960,

%T 1319401053696,42860382335232,1392307798818816,45228738040578048,

%U 1469243184987697152,47727963019128471552,1550429824846292189184,50365288810019957047296

%N 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.

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

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

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (32, 32, -528).

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

%t coxG[{3,528,-32}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 20 2015 *)

%K nonn

%O 0,2

%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009