cp's OEIS Frontend

A170164 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.

%I A170164 #6 Nov 22 2016 15:45:30
%S A170164 1,11,110,1100,11000,110000,1100000,11000000,110000000,1100000000,
%T A170164 11000000000,110000000000,1100000000000,11000000000000,
%U A170164 110000000000000,1100000000000000,11000000000000000,110000000000000000
%N A170164 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.
%C A170164 The initial terms coincide with those of A003953, although the two sequences are eventually different.
%C A170164 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170164 <a href="/index/Rec#order_39">Index entries for linear recurrences with constant coefficients</a>, signature (9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, -45).
%F A170164 G.f. (t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170164 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 +
%F A170164 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 +
%F A170164 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 +
%F A170164 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(45*t^39 -
%F A170164 9*t^38 - 9*t^37 - 9*t^36 - 9*t^35 - 9*t^34 - 9*t^33 - 9*t^32 - 9*t^31 -
%F A170164 9*t^30 - 9*t^29 - 9*t^28 - 9*t^27 - 9*t^26 - 9*t^25 - 9*t^24 - 9*t^23 -
%F A170164 9*t^22 - 9*t^21 - 9*t^20 - 9*t^19 - 9*t^18 - 9*t^17 - 9*t^16 - 9*t^15 -
%F A170164 9*t^14 - 9*t^13 - 9*t^12 - 9*t^11 - 9*t^10 - 9*t^9 - 9*t^8 - 9*t^7 -
%F A170164 9*t^6 - 9*t^5 - 9*t^4 - 9*t^3 - 9*t^2 - 9*t + 1)
%K A170164 nonn
%O A170164 0,2
%A A170164 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009