cp's OEIS Frontend

A170250 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^40 = I.

%I A170250 #6 Nov 22 2016 15:34:56
%S A170250 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A170250 28766348771328,1380784741023744,66277667569139712,
%U A170250 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353416192
%N A170250 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^40 = I.
%C A170250 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A170250 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170250 <a href="/index/Rec#order_40">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, 47, 47, 47, 47, 47, 47, 47, -1128).
%F A170250 G.f. (t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 +
%F A170250 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 +
%F A170250 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 +
%F A170250 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 +
%F A170250 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170250 1)/(1128*t^40 - 47*t^39 - 47*t^38 - 47*t^37 - 47*t^36 - 47*t^35 -
%F A170250 47*t^34 - 47*t^33 - 47*t^32 - 47*t^31 - 47*t^30 - 47*t^29 - 47*t^28 -
%F A170250 47*t^27 - 47*t^26 - 47*t^25 - 47*t^24 - 47*t^23 - 47*t^22 - 47*t^21 -
%F A170250 47*t^20 - 47*t^19 - 47*t^18 - 47*t^17 - 47*t^16 - 47*t^15 - 47*t^14 -
%F A170250 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 -
%F A170250 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1)
%K A170250 nonn
%O A170250 0,2
%A A170250 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009