cp's OEIS Frontend

A170192 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.

%I A170192 #6 Nov 22 2016 16:00:39
%S A170192 1,39,1482,56316,2140008,81320304,3090171552,117426518976,
%T A170192 4462207721088,169563893401344,6443427949251072,244850262071540736,
%U A170192 9304309958718547968,353563778431304822784,13435423580389583265792
%N A170192 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.
%C A170192 The initial terms coincide with those of A170758, although the two sequences are eventually different.
%C A170192 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170192 <a href="/index/Rec#order_39">Index entries for linear recurrences with constant coefficients</a>, signature (37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, -703).
%F A170192 G.f. (t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170192 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 +
%F A170192 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 +
%F A170192 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 +
%F A170192 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(703*t^39 -
%F A170192 37*t^38 - 37*t^37 - 37*t^36 - 37*t^35 - 37*t^34 - 37*t^33 - 37*t^32 -
%F A170192 37*t^31 - 37*t^30 - 37*t^29 - 37*t^28 - 37*t^27 - 37*t^26 - 37*t^25 -
%F A170192 37*t^24 - 37*t^23 - 37*t^22 - 37*t^21 - 37*t^20 - 37*t^19 - 37*t^18 -
%F A170192 37*t^17 - 37*t^16 - 37*t^15 - 37*t^14 - 37*t^13 - 37*t^12 - 37*t^11 -
%F A170192 37*t^10 - 37*t^9 - 37*t^8 - 37*t^7 - 37*t^6 - 37*t^5 - 37*t^4 - 37*t^3 -
%F A170192 37*t^2 - 37*t + 1)
%K A170192 nonn
%O A170192 0,2
%A A170192 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009