cp's OEIS Frontend

A169573 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169573 #8 May 02 2019 09:25:54
%S A169573 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552,
%T A169573 27292513198112,846067909141472,26228105183385632,813071260684954592,
%U A169573 25205209081233592352,781361481518241362912,24222205927065482250272
%N A169573 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169573 The initial terms coincide with those of A170751, although the two sequences are eventually different.
%C A169573 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169573 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, -465).
%F A169573 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 A169573 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 A169573 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 A169573 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 A169573 + 2*t^2 + 2*t + 1)/(465*t^35 - 30*t^34 - 30*t^33 - 30*t^32 - 30*t^31 -
%F A169573 30*t^30 - 30*t^29 - 30*t^28 - 30*t^27 - 30*t^26 - 30*t^25 - 30*t^24 -
%F A169573 30*t^23 - 30*t^22 - 30*t^21 - 30*t^20 - 30*t^19 - 30*t^18 - 30*t^17 -
%F A169573 30*t^16 - 30*t^15 - 30*t^14 - 30*t^13 - 30*t^12 - 30*t^11 - 30*t^10 -
%F A169573 30*t^9 - 30*t^8 - 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 -
%F A169573 30*t + 1)
%t A169573 coxG[{35,465,-30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 02 2019 *)
%K A169573 nonn
%O A169573 0,2
%A A169573 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009