cp's OEIS Frontend

A169547 Number of reduced words of length n in Coxeter group on 6 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169547 #6 Nov 26 2016 09:24:55
%S A169547 1,6,30,150,750,3750,18750,93750,468750,2343750,11718750,58593750,
%T A169547 292968750,1464843750,7324218750,36621093750,183105468750,
%U A169547 915527343750,4577636718750,22888183593750,114440917968750,572204589843750
%N A169547 Number of reduced words of length n in Coxeter group on 6 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169547 The initial terms coincide with those of A003948, although the two sequences are eventually different.
%C A169547 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169547 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10).
%F A169547 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A169547 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A169547 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A169547 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A169547 + 2*t^2 + 2*t + 1)/(10*t^35 - 4*t^34 - 4*t^33 - 4*t^32 - 4*t^31 - 4*t^30
%F A169547 - 4*t^29 - 4*t^28 - 4*t^27 - 4*t^26 - 4*t^25 - 4*t^24 - 4*t^23 - 4*t^22
%F A169547 - 4*t^21 - 4*t^20 - 4*t^19 - 4*t^18 - 4*t^17 - 4*t^16 - 4*t^15 - 4*t^14
%F A169547 - 4*t^13 - 4*t^12 - 4*t^11 - 4*t^10 - 4*t^9 - 4*t^8 - 4*t^7 - 4*t^6 -
%F A169547 4*t^5 - 4*t^4 - 4*t^3 - 4*t^2 - 4*t + 1)
%K A169547 nonn
%O A169547 0,2
%A A169547 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009