cp's OEIS Frontend

A169540 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169540 #6 Nov 26 2016 07:42:31
%S A169540 1,47,2162,99452,4574792,210440432,9680259872,445291954112,
%T A169540 20483429889152,942237774900992,43342937645445632,1993775131690499072,
%U A169540 91713656057762957312,4218828178657096036352,194066096218226417672192
%N A169540 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169540 The initial terms coincide with those of A170766, although the two sequences are eventually different.
%C A169540 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169540 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, -1035).
%F A169540 G.f. (t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 +
%F A169540 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 +
%F A169540 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 +
%F A169540 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 +
%F A169540 2*t + 1)/(1035*t^34 - 45*t^33 - 45*t^32 - 45*t^31 - 45*t^30 - 45*t^29 -
%F A169540 45*t^28 - 45*t^27 - 45*t^26 - 45*t^25 - 45*t^24 - 45*t^23 - 45*t^22 -
%F A169540 45*t^21 - 45*t^20 - 45*t^19 - 45*t^18 - 45*t^17 - 45*t^16 - 45*t^15 -
%F A169540 45*t^14 - 45*t^13 - 45*t^12 - 45*t^11 - 45*t^10 - 45*t^9 - 45*t^8 -
%F A169540 45*t^7 - 45*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1)
%K A169540 nonn
%O A169540 0,2
%A A169540 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009