cp's OEIS Frontend

A170058 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.

%I A170058 #8 Nov 26 2016 09:50:33
%S A170058 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A170058 28766348771328,1380784741023744,66277667569139712,
%U A170058 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353416192
%N A170058 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.
%C A170058 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A170058 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170058 <a href="/index/Rec#order_36">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, -1128).
%F A170058 G.f. (t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170058 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170058 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170058 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
%F A170058 + 2*t^3 + 2*t^2 + 2*t + 1)/(1128*t^36 - 47*t^35 - 47*t^34 - 47*t^33 -
%F A170058 47*t^32 - 47*t^31 - 47*t^30 - 47*t^29 - 47*t^28 - 47*t^27 - 47*t^26 -
%F A170058 47*t^25 - 47*t^24 - 47*t^23 - 47*t^22 - 47*t^21 - 47*t^20 - 47*t^19 -
%F A170058 47*t^18 - 47*t^17 - 47*t^16 - 47*t^15 - 47*t^14 - 47*t^13 - 47*t^12 -
%F A170058 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 - 47*t^6 - 47*t^5 - 47*t^4
%F A170058 - 47*t^3 - 47*t^2 - 47*t + 1)
%t A170058 coxG[{36,1128,-47}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 14 2015 *)
%K A170058 nonn
%O A170058 0,2
%A A170058 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009