cp's OEIS Frontend

A170141 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.

%I A170141 #8 Aug 24 2019 09:01:42
%S A170141 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170141 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170141 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170141 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.
%C A170141 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170141 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170141 <a href="/index/Rec#order_38">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A170141 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 A170141 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 A170141 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 A170141 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 A170141 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^38 - 34*t^37 -
%F A170141 34*t^36 - 34*t^35 - 34*t^34 - 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 -
%F A170141 34*t^29 - 34*t^28 - 34*t^27 - 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 -
%F A170141 34*t^22 - 34*t^21 - 34*t^20 - 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 -
%F A170141 34*t^15 - 34*t^14 - 34*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 -
%F A170141 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A170141 coxG[{38,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 24 2019 *)
%K A170141 nonn
%O A170141 0,2
%A A170141 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009