cp's OEIS Frontend

A170669 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.

%I A170669 #6 Nov 21 2016 11:30:50
%S A170669 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170669 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170669 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170669 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.
%C A170669 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170669 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170669 <a href="/index/Rec#order_49">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, 34, 34, 34, 34, 34, -595).
%F A170669 G.f. (t^49 + 2*t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 +
%F A170669 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 +
%F A170669 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A170669 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A170669 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A170669 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170669 1)/(595*t^49 - 34*t^48 - 34*t^47 - 34*t^46 - 34*t^45 - 34*t^44 - 34*t^43
%F A170669 - 34*t^42 - 34*t^41 - 34*t^40 - 34*t^39 - 34*t^38 - 34*t^37 - 34*t^36 -
%F A170669 34*t^35 - 34*t^34 - 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 -
%F A170669 34*t^28 - 34*t^27 - 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 -
%F A170669 34*t^21 - 34*t^20 - 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 -
%F A170669 34*t^14 - 34*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 -
%F A170669 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%K A170669 nonn
%O A170669 0,2
%A A170669 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009