cp's OEIS Frontend

A169494 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169494 #6 Nov 26 2016 07:28:57
%S A169494 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A169494 28766348771328,1380784741023744,66277667569139712,
%U A169494 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353416192
%N A169494 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169494 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A169494 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169494 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, -1128).
%F A169494 G.f. (t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A169494 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A169494 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A169494 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 +
%F A169494 1)/(1128*t^33 - 47*t^32 - 47*t^31 - 47*t^30 - 47*t^29 - 47*t^28 -
%F A169494 47*t^27 - 47*t^26 - 47*t^25 - 47*t^24 - 47*t^23 - 47*t^22 - 47*t^21 -
%F A169494 47*t^20 - 47*t^19 - 47*t^18 - 47*t^17 - 47*t^16 - 47*t^15 - 47*t^14 -
%F A169494 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 -
%F A169494 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1)
%K A169494 nonn
%O A169494 0,2
%A A169494 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009