cp's OEIS Frontend

A169491 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169491 #8 Mar 06 2019 22:09:11
%S A169491 1,46,2070,93150,4191750,188628750,8488293750,381973218750,
%T A169491 17188794843750,773495767968750,34807309558593750,1566328930136718750,
%U A169491 70484801856152343750,3171816083526855468750,142731723758708496093750
%N A169491 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169491 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A169491 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169491 <a href="/index/Rec#order_33">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, -990).
%F A169491 G.f. (t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A169491 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A169491 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A169491 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A169491 1)/(990*t^33 - 44*t^32 - 44*t^31 - 44*t^30 - 44*t^29 - 44*t^28 - 44*t^27
%F A169491 - 44*t^26 - 44*t^25 - 44*t^24 - 44*t^23 - 44*t^22 - 44*t^21 - 44*t^20 -
%F A169491 44*t^19 - 44*t^18 - 44*t^17 - 44*t^16 - 44*t^15 - 44*t^14 - 44*t^13 -
%F A169491 44*t^12 - 44*t^11 - 44*t^10 - 44*t^9 - 44*t^8 - 44*t^7 - 44*t^6 - 44*t^5
%F A169491 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1)
%t A169491 coxG[{33,990,-44}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 06 2019 *)
%K A169491 nonn
%O A169491 0,2
%A A169491 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009