cp's OEIS Frontend

A170621 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.

%I A170621 #8 May 19 2018 09:09:30
%S A170621 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170621 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170621 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170621 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.
%C A170621 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170621 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170621 <a href="/index/Rec#order_48">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, -595).
%F A170621 G.f. (t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 +
%F A170621 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 +
%F A170621 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 A170621 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 A170621 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 A170621 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170621 1)/(595*t^48 - 34*t^47 - 34*t^46 - 34*t^45 - 34*t^44 - 34*t^43 - 34*t^42
%F A170621 - 34*t^41 - 34*t^40 - 34*t^39 - 34*t^38 - 34*t^37 - 34*t^36 - 34*t^35 -
%F A170621 34*t^34 - 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 -
%F A170621 34*t^27 - 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 -
%F A170621 34*t^20 - 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 -
%F A170621 34*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 -
%F A170621 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A170621 coxG[{48,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 19 2018 *)
%K A170621 nonn
%O A170621 0,2
%A A170621 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009