cp's OEIS Frontend

A170148 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.

%I A170148 #8 Nov 13 2022 11:20:58
%S A170148 1,43,1806,75852,3185784,133802928,5619722976,236028364992,
%T A170148 9913191329664,416354035845888,17486869505527296,734448519232146432,
%U A170148 30846837807750150144,1295567187925506306048,54413821892871264854016
%N A170148 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.
%C A170148 The initial terms coincide with those of A170762, although the two sequences are eventually different.
%C A170148 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170148 <a href="/index/Rec#order_38">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, 41, 41, 41, 41, -861).
%F A170148 G.f. (t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170148 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170148 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170148 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170148 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(861*t^38 - 41*t^37 -
%F A170148 41*t^36 - 41*t^35 - 41*t^34 - 41*t^33 - 41*t^32 - 41*t^31 - 41*t^30 -
%F A170148 41*t^29 - 41*t^28 - 41*t^27 - 41*t^26 - 41*t^25 - 41*t^24 - 41*t^23 -
%F A170148 41*t^22 - 41*t^21 - 41*t^20 - 41*t^19 - 41*t^18 - 41*t^17 - 41*t^16 -
%F A170148 41*t^15 - 41*t^14 - 41*t^13 - 41*t^12 - 41*t^11 - 41*t^10 - 41*t^9 -
%F A170148 41*t^8 - 41*t^7 - 41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1)
%t A170148 coxG[{38,861,-41}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Nov 13 2022 *)
%K A170148 nonn
%O A170148 0,2
%A A170148 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009