cp's OEIS Frontend

A169495 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169495 #8 Nov 26 2016 07:29:18
%S A169495 1,50,2450,120050,5882450,288240050,14123762450,692064360050,
%T A169495 33911153642450,1661646528480050,81420679895522450,
%U A169495 3989613314880600050,195491052429149402450,9579061569028320720050,469374016882387715282450
%N A169495 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169495 The initial terms coincide with those of A170769, although the two sequences are eventually different.
%C A169495 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169495 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, -1176).
%F A169495 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 A169495 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 A169495 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 A169495 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 A169495 1)/(1176*t^33 - 48*t^32 - 48*t^31 - 48*t^30 - 48*t^29 - 48*t^28 -
%F A169495 48*t^27 - 48*t^26 - 48*t^25 - 48*t^24 - 48*t^23 - 48*t^22 - 48*t^21 -
%F A169495 48*t^20 - 48*t^19 - 48*t^18 - 48*t^17 - 48*t^16 - 48*t^15 - 48*t^14 -
%F A169495 48*t^13 - 48*t^12 - 48*t^11 - 48*t^10 - 48*t^9 - 48*t^8 - 48*t^7 -
%F A169495 48*t^6 - 48*t^5 - 48*t^4 - 48*t^3 - 48*t^2 - 48*t + 1)
%t A169495 coxG[{33,1176,-48}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 15 2014 *)
%K A169495 nonn
%O A169495 0,2
%A A169495 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009