cp's OEIS Frontend

A170505 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170505 #8 Nov 21 2016 14:05:05
%S A170505 1,16,240,3600,54000,810000,12150000,182250000,2733750000,41006250000,
%T A170505 615093750000,9226406250000,138396093750000,2075941406250000,
%U A170505 31139121093750000,467086816406250000,7006302246093750000
%N A170505 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170505 The initial terms coincide with those of A170735, although the two sequences are eventually different.
%C A170505 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170505 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, -105).
%F A170505 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 A170505 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 A170505 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 A170505 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 A170505 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 A170505 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(105*t^46 - 14*t^45 -
%F A170505 14*t^44 - 14*t^43 - 14*t^42 - 14*t^41 - 14*t^40 - 14*t^39 - 14*t^38 -
%F A170505 14*t^37 - 14*t^36 - 14*t^35 - 14*t^34 - 14*t^33 - 14*t^32 - 14*t^31 -
%F A170505 14*t^30 - 14*t^29 - 14*t^28 - 14*t^27 - 14*t^26 - 14*t^25 - 14*t^24 -
%F A170505 14*t^23 - 14*t^22 - 14*t^21 - 14*t^20 - 14*t^19 - 14*t^18 - 14*t^17 -
%F A170505 14*t^16 - 14*t^15 - 14*t^14 - 14*t^13 - 14*t^12 - 14*t^11 - 14*t^10 -
%F A170505 14*t^9 - 14*t^8 - 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 -
%F A170505 14*t + 1)
%t A170505 coxG[{46,105,-14}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Dec 23 2014 *)
%K A170505 nonn
%O A170505 0,2
%A A170505 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009