A164671 - OEIS

%I #10 Feb 22 2024 20:31:48

%S 1,35,1190,40460,1375640,46771760,1590239840,54068153965,

%T 1838317214580,62502784608495,2125094653323180,72253217418556020,

%U 2456609365220213280,83524717499123743920,2839840363745848388310,96554571305730654116385

%N Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

%C The initial terms coincide with those of A170754, 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_07">Index entries for linear recurrences with constant coefficients</a>, signature (33,33,33,33,33,33,-561).

%F G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(561*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 - 33*t^2 - 33*t + 1).

%K nonn

%O 0,2

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