cp's OEIS Frontend

A170280 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^41 = I.

%I A170280 #6 Nov 22 2016 11:54:21
%S A170280 1,31,930,27900,837000,25110000,753300000,22599000000,677970000000,
%T A170280 20339100000000,610173000000000,18305190000000000,549155700000000000,
%U A170280 16474671000000000000,494240130000000000000,14827203900000000000000
%N A170280 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^41 = I.
%C A170280 The initial terms coincide with those of A170750, although the two sequences are eventually different.
%C A170280 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170280 <a href="/index/Rec#order_41">Index entries for linear recurrences with constant coefficients</a>, signature (29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, -435).
%F A170280 G.f. (t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 +
%F A170280 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A170280 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 A170280 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 A170280 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 A170280 1)/(435*t^41 - 29*t^40 - 29*t^39 - 29*t^38 - 29*t^37 - 29*t^36 - 29*t^35
%F A170280 - 29*t^34 - 29*t^33 - 29*t^32 - 29*t^31 - 29*t^30 - 29*t^29 - 29*t^28 -
%F A170280 29*t^27 - 29*t^26 - 29*t^25 - 29*t^24 - 29*t^23 - 29*t^22 - 29*t^21 -
%F A170280 29*t^20 - 29*t^19 - 29*t^18 - 29*t^17 - 29*t^16 - 29*t^15 - 29*t^14 -
%F A170280 29*t^13 - 29*t^12 - 29*t^11 - 29*t^10 - 29*t^9 - 29*t^8 - 29*t^7 -
%F A170280 29*t^6 - 29*t^5 - 29*t^4 - 29*t^3 - 29*t^2 - 29*t + 1)
%K A170280 nonn
%O A170280 0,2
%A A170280 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009