cp's OEIS Frontend

A169536 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169536 #6 Nov 26 2016 07:41:27
%S A169536 1,43,1806,75852,3185784,133802928,5619722976,236028364992,
%T A169536 9913191329664,416354035845888,17486869505527296,734448519232146432,
%U A169536 30846837807750150144,1295567187925506306048,54413821892871264854016
%N A169536 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169536 The initial terms coincide with those of A170762, although the two sequences are eventually different.
%C A169536 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169536 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, -861).
%F A169536 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 A169536 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 A169536 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 A169536 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 A169536 2*t + 1)/(861*t^34 - 41*t^33 - 41*t^32 - 41*t^31 - 41*t^30 - 41*t^29 -
%F A169536 41*t^28 - 41*t^27 - 41*t^26 - 41*t^25 - 41*t^24 - 41*t^23 - 41*t^22 -
%F A169536 41*t^21 - 41*t^20 - 41*t^19 - 41*t^18 - 41*t^17 - 41*t^16 - 41*t^15 -
%F A169536 41*t^14 - 41*t^13 - 41*t^12 - 41*t^11 - 41*t^10 - 41*t^9 - 41*t^8 -
%F A169536 41*t^7 - 41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1)
%K A169536 nonn
%O A169536 0,2
%A A169536 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009