cp's OEIS Frontend

A170429 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^44 = I.

%I A170429 #8 Nov 21 2016 17:33:21
%S A170429 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170429 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170429 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170429 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^44 = I.
%C A170429 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170429 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170429 <a href="/index/Rec#order_44">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, 34, 34, 34, 34, -595).
%F A170429 G.f. (t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 +
%F A170429 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170429 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170429 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170429 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4
%F A170429 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^44 - 34*t^43 - 34*t^42 - 34*t^41 -
%F A170429 34*t^40 - 34*t^39 - 34*t^38 - 34*t^37 - 34*t^36 - 34*t^35 - 34*t^34 -
%F A170429 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 - 34*t^27 -
%F A170429 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 - 34*t^20 -
%F A170429 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 - 34*t^13 -
%F A170429 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 A170429 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A170429 coxG[{44,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 09 2016 *)
%K A170429 nonn
%O A170429 0,2
%A A170429 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009