cp's OEIS Frontend

A170010 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A170010 #6 Nov 26 2016 09:37:03
%S A170010 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A170010 28766348771328,1380784741023744,66277667569139712,
%U A170010 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353416192
%N A170010 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A170010 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A170010 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170010 <a href="/index/Rec#order_35">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, -1128).
%F A170010 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A170010 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A170010 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A170010 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
%F A170010 + 2*t^2 + 2*t + 1)/(1128*t^35 - 47*t^34 - 47*t^33 - 47*t^32 - 47*t^31 -
%F A170010 47*t^30 - 47*t^29 - 47*t^28 - 47*t^27 - 47*t^26 - 47*t^25 - 47*t^24 -
%F A170010 47*t^23 - 47*t^22 - 47*t^21 - 47*t^20 - 47*t^19 - 47*t^18 - 47*t^17 -
%F A170010 47*t^16 - 47*t^15 - 47*t^14 - 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 -
%F A170010 47*t^9 - 47*t^8 - 47*t^7 - 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 -
%F A170010 47*t + 1)
%K A170010 nonn
%O A170010 0,2
%A A170010 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009