cp's OEIS Frontend

A169539 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169539 #6 Nov 26 2016 07:42:16
%S A169539 1,46,2070,93150,4191750,188628750,8488293750,381973218750,
%T A169539 17188794843750,773495767968750,34807309558593750,1566328930136718750,
%U A169539 70484801856152343750,3171816083526855468750,142731723758708496093750
%N A169539 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169539 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A169539 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169539 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, -990).
%F A169539 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 A169539 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 A169539 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 A169539 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 A169539 2*t + 1)/(990*t^34 - 44*t^33 - 44*t^32 - 44*t^31 - 44*t^30 - 44*t^29 -
%F A169539 44*t^28 - 44*t^27 - 44*t^26 - 44*t^25 - 44*t^24 - 44*t^23 - 44*t^22 -
%F A169539 44*t^21 - 44*t^20 - 44*t^19 - 44*t^18 - 44*t^17 - 44*t^16 - 44*t^15 -
%F A169539 44*t^14 - 44*t^13 - 44*t^12 - 44*t^11 - 44*t^10 - 44*t^9 - 44*t^8 -
%F A169539 44*t^7 - 44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1)
%K A169539 nonn
%O A169539 0,2
%A A169539 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009