cp's OEIS Frontend

A170515 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170515 #8 Nov 21 2016 14:10:33
%S A170515 1,26,650,16250,406250,10156250,253906250,6347656250,158691406250,
%T A170515 3967285156250,99182128906250,2479553222656250,61988830566406250,
%U A170515 1549720764160156250,38743019104003906250,968575477600097656250
%N A170515 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170515 The initial terms coincide with those of A170745, although the two sequences are eventually different.
%C A170515 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170515 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, -300).
%F A170515 G.f. (t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 +
%F A170515 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170515 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 A170515 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 A170515 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 A170515 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(300*t^46 - 24*t^45 -
%F A170515 24*t^44 - 24*t^43 - 24*t^42 - 24*t^41 - 24*t^40 - 24*t^39 - 24*t^38 -
%F A170515 24*t^37 - 24*t^36 - 24*t^35 - 24*t^34 - 24*t^33 - 24*t^32 - 24*t^31 -
%F A170515 24*t^30 - 24*t^29 - 24*t^28 - 24*t^27 - 24*t^26 - 24*t^25 - 24*t^24 -
%F A170515 24*t^23 - 24*t^22 - 24*t^21 - 24*t^20 - 24*t^19 - 24*t^18 - 24*t^17 -
%F A170515 24*t^16 - 24*t^15 - 24*t^14 - 24*t^13 - 24*t^12 - 24*t^11 - 24*t^10 -
%F A170515 24*t^9 - 24*t^8 - 24*t^7 - 24*t^6 - 24*t^5 - 24*t^4 - 24*t^3 - 24*t^2 -
%F A170515 24*t + 1)
%t A170515 With[{num=Total[2t^Range[45]]+t^46+1,den=Total[-24 t^Range[45]]+ 330t^46+ 1},CoefficientList[Series[num/den,{t,0,20}],t]] (* _Harvey P. Dale_, Jul 04 2012 *)
%K A170515 nonn
%O A170515 0,2
%A A170515 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009