cp's OEIS Frontend

A169027 Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^24 = I.

%I A169027 #8 Nov 25 2016 10:58:32
%S A169027 1,14,182,2366,30758,399854,5198102,67575326,878479238,11420230094,
%T A169027 148462991222,1930018885886,25090245516518,326173191714734,
%U A169027 4240251492291542,55123269399790046,716602502197270598
%N A169027 Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^24 = I.
%C A169027 The initial terms coincide with those of A170733, although the two sequences are eventually different.
%C A169027 First disagreement at index 24: a(24) = 584554675787783629138641067, A170733(24) = 584554675787783629138641158. - Klaus Brockhaus, Apr 20 2011
%C A169027 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169027 <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, -78).
%F A169027 G.f.: (t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 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 + 1)/(78*t^24 - 12*t^23 - 12*t^22 - 12*t^21 - 12*t^20 - 12*t^19 - 12*t^18 - 12*t^17 - 12*t^16 - 12*t^15 - 12*t^14 - 12*t^13 - 12*t^12 - 12*t^11 - 12*t^10 - 12*t^9 - 12*t^8 - 12*t^7 - 12*t^6 - 12*t^5 - 12*t^4 - 12*t^3 - 12*t^2 - 12*t + 1).
%Y A169027 Cf. A170733 (G.f.: (1+x)/(1-13*x)).
%K A169027 nonn
%O A169027 0,2
%A A169027 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009