cp's OEIS Frontend

A170237 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^40 = I.

%I A170237 #8 Mar 21 2018 16:29:30
%S A170237 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170237 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170237 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170237 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^40 = I.
%C A170237 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170237 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170237 <a href="/index/Rec#order_40">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, 34, 34, -595).
%F A170237 G.f. (t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 +
%F A170237 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 +
%F A170237 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 +
%F A170237 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 +
%F A170237 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170237 1)/(595*t^40 - 34*t^39 - 34*t^38 - 34*t^37 - 34*t^36 - 34*t^35 - 34*t^34
%F A170237 - 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 - 34*t^27 -
%F A170237 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 - 34*t^20 -
%F A170237 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 - 34*t^13 -
%F A170237 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5
%F A170237 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A170237 coxG[{40,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 21 2018 *)
%K A170237 nonn
%O A170237 0,2
%A A170237 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009