cp's OEIS Frontend

A169552 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169552 #8 Nov 26 2016 09:26:19
%S A169552 1,11,110,1100,11000,110000,1100000,11000000,110000000,1100000000,
%T A169552 11000000000,110000000000,1100000000000,11000000000000,
%U A169552 110000000000000,1100000000000000,11000000000000000,110000000000000000
%N A169552 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169552 The initial terms coincide with those of A003953, although the two sequences are eventually different.
%C A169552 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169552 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, -45).
%F A169552 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 A169552 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 A169552 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 A169552 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 A169552 + 2*t^2 + 2*t + 1)/(45*t^35 - 9*t^34 - 9*t^33 - 9*t^32 - 9*t^31 - 9*t^30
%F A169552 - 9*t^29 - 9*t^28 - 9*t^27 - 9*t^26 - 9*t^25 - 9*t^24 - 9*t^23 - 9*t^22
%F A169552 - 9*t^21 - 9*t^20 - 9*t^19 - 9*t^18 - 9*t^17 - 9*t^16 - 9*t^15 - 9*t^14
%F A169552 - 9*t^13 - 9*t^12 - 9*t^11 - 9*t^10 - 9*t^9 - 9*t^8 - 9*t^7 - 9*t^6 -
%F A169552 9*t^5 - 9*t^4 - 9*t^3 - 9*t^2 - 9*t + 1)
%t A169552 coxG[{35,45,-9}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 23 2016 *)
%K A169552 nonn
%O A169552 0,2
%A A169552 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009