cp's OEIS Frontend

A169541 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169541 #8 Jun 09 2020 12:16:49
%S A169541 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A169541 24317909782224,1142941759764528,53718262708932816,
%U A169541 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A169541 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169541 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A169541 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169541 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A169541 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 A169541 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 A169541 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 A169541 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 A169541 2*t + 1)/(1081*t^34 - 46*t^33 - 46*t^32 - 46*t^31 - 46*t^30 - 46*t^29 -
%F A169541 46*t^28 - 46*t^27 - 46*t^26 - 46*t^25 - 46*t^24 - 46*t^23 - 46*t^22 -
%F A169541 46*t^21 - 46*t^20 - 46*t^19 - 46*t^18 - 46*t^17 - 46*t^16 - 46*t^15 -
%F A169541 46*t^14 - 46*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 - 46*t^8 -
%F A169541 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1)
%t A169541 coxG[{34,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jun 09 2020 *)
%K A169541 nonn
%O A169541 0,2
%A A169541 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009