cp's OEIS Frontend

A170203 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.

%I A170203 #6 Nov 22 2016 16:06:46
%S A170203 1,50,2450,120050,5882450,288240050,14123762450,692064360050,
%T A170203 33911153642450,1661646528480050,81420679895522450,
%U A170203 3989613314880600050,195491052429149402450,9579061569028320720050,469374016882387715282450
%N A170203 Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.
%C A170203 The initial terms coincide with those of A170769, although the two sequences are eventually different.
%C A170203 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170203 <a href="/index/Rec#order_39">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, 48, 48, 48, 48, 48, 48, -1176).
%F A170203 G.f. (t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170203 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 +
%F A170203 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 +
%F A170203 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 +
%F A170203 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1176*t^39 -
%F A170203 48*t^38 - 48*t^37 - 48*t^36 - 48*t^35 - 48*t^34 - 48*t^33 - 48*t^32 -
%F A170203 48*t^31 - 48*t^30 - 48*t^29 - 48*t^28 - 48*t^27 - 48*t^26 - 48*t^25 -
%F A170203 48*t^24 - 48*t^23 - 48*t^22 - 48*t^21 - 48*t^20 - 48*t^19 - 48*t^18 -
%F A170203 48*t^17 - 48*t^16 - 48*t^15 - 48*t^14 - 48*t^13 - 48*t^12 - 48*t^11 -
%F A170203 48*t^10 - 48*t^9 - 48*t^8 - 48*t^7 - 48*t^6 - 48*t^5 - 48*t^4 - 48*t^3 -
%F A170203 48*t^2 - 48*t + 1)
%K A170203 nonn
%O A170203 0,2
%A A170203 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009