cp's OEIS Frontend

A170106 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.

%I A170106 #8 May 27 2018 15:41:27
%S A170106 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A170106 28766348771328,1380784741023744,66277667569139712,
%U A170106 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353416192
%N A170106 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.
%C A170106 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A170106 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170106 <a href="/index/Rec#order_37">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, -1128).
%F A170106 G.f. (t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 +
%F A170106 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 +
%F A170106 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 +
%F A170106 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 +
%F A170106 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1128*t^37 - 47*t^36 - 47*t^35
%F A170106 - 47*t^34 - 47*t^33 - 47*t^32 - 47*t^31 - 47*t^30 - 47*t^29 - 47*t^28 -
%F A170106 47*t^27 - 47*t^26 - 47*t^25 - 47*t^24 - 47*t^23 - 47*t^22 - 47*t^21 -
%F A170106 47*t^20 - 47*t^19 - 47*t^18 - 47*t^17 - 47*t^16 - 47*t^15 - 47*t^14 -
%F A170106 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 -
%F A170106 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1)
%t A170106 coxG[{37,1128,-47}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 27 2018 *)
%K A170106 nonn
%O A170106 0,2
%A A170106 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009