cp's OEIS Frontend

A169572 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169572 #8 Nov 26 2016 09:31:54
%S A169572 1,31,930,27900,837000,25110000,753300000,22599000000,677970000000,
%T A169572 20339100000000,610173000000000,18305190000000000,549155700000000000,
%U A169572 16474671000000000000,494240130000000000000,14827203900000000000000
%N A169572 Number of reduced words of length n in Coxeter group on 31 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169572 The initial terms coincide with those of A170750, although the two sequences are eventually different.
%C A169572 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169572 <a href="/index/Rec#order_35">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, -435).
%F A169572 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A169572 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A169572 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A169572 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A169572 + 2*t^2 + 2*t + 1)/(435*t^35 - 29*t^34 - 29*t^33 - 29*t^32 - 29*t^31 -
%F A169572 29*t^30 - 29*t^29 - 29*t^28 - 29*t^27 - 29*t^26 - 29*t^25 - 29*t^24 -
%F A169572 29*t^23 - 29*t^22 - 29*t^21 - 29*t^20 - 29*t^19 - 29*t^18 - 29*t^17 -
%F A169572 29*t^16 - 29*t^15 - 29*t^14 - 29*t^13 - 29*t^12 - 29*t^11 - 29*t^10 -
%F A169572 29*t^9 - 29*t^8 - 29*t^7 - 29*t^6 - 29*t^5 - 29*t^4 - 29*t^3 - 29*t^2 -
%F A169572 29*t + 1)
%t A169572 coxG[{35,435,-29}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 19 2015 *)
%K A169572 nonn
%O A169572 0,2
%A A169572 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009