cp's OEIS Frontend

A170516 Number of reduced words of length n in Coxeter group on 27 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170516 #8 Nov 21 2016 14:11:11
%S A170516 1,27,702,18252,474552,12338352,320797152,8340725952,216858874752,
%T A170516 5638330743552,146596599332352,3811511582641152,99099301148669952,
%U A170516 2576581829865418752,66991127576500887552,1741769316989023076352
%N A170516 Number of reduced words of length n in Coxeter group on 27 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170516 The initial terms coincide with those of A170746, although the two sequences are eventually different.
%C A170516 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170516 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, -325).
%F A170516 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 A170516 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 A170516 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 A170516 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 A170516 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 A170516 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(325*t^46 - 25*t^45 -
%F A170516 25*t^44 - 25*t^43 - 25*t^42 - 25*t^41 - 25*t^40 - 25*t^39 - 25*t^38 -
%F A170516 25*t^37 - 25*t^36 - 25*t^35 - 25*t^34 - 25*t^33 - 25*t^32 - 25*t^31 -
%F A170516 25*t^30 - 25*t^29 - 25*t^28 - 25*t^27 - 25*t^26 - 25*t^25 - 25*t^24 -
%F A170516 25*t^23 - 25*t^22 - 25*t^21 - 25*t^20 - 25*t^19 - 25*t^18 - 25*t^17 -
%F A170516 25*t^16 - 25*t^15 - 25*t^14 - 25*t^13 - 25*t^12 - 25*t^11 - 25*t^10 -
%F A170516 25*t^9 - 25*t^8 - 25*t^7 - 25*t^6 - 25*t^5 - 25*t^4 - 25*t^3 - 25*t^2 -
%F A170516 25*t + 1)
%t A170516 coxG[{46,325,-25}] (* See A169452 for coxG program *) (* _Harvey P. Dale_, Aug 23 2014 *)
%K A170516 nonn
%O A170516 0,2
%A A170516 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009