cp's OEIS Frontend

A170048 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.

%I A170048 #6 Nov 26 2016 09:47:46
%S A170048 1,39,1482,56316,2140008,81320304,3090171552,117426518976,
%T A170048 4462207721088,169563893401344,6443427949251072,244850262071540736,
%U A170048 9304309958718547968,353563778431304822784,13435423580389583265792
%N A170048 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.
%C A170048 The initial terms coincide with those of A170758, although the two sequences are eventually different.
%C A170048 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170048 <a href="/index/Rec#order_36">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, -703).
%F A170048 G.f. (t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170048 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170048 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170048 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4
%F A170048 + 2*t^3 + 2*t^2 + 2*t + 1)/(703*t^36 - 37*t^35 - 37*t^34 - 37*t^33 -
%F A170048 37*t^32 - 37*t^31 - 37*t^30 - 37*t^29 - 37*t^28 - 37*t^27 - 37*t^26 -
%F A170048 37*t^25 - 37*t^24 - 37*t^23 - 37*t^22 - 37*t^21 - 37*t^20 - 37*t^19 -
%F A170048 37*t^18 - 37*t^17 - 37*t^16 - 37*t^15 - 37*t^14 - 37*t^13 - 37*t^12 -
%F A170048 37*t^11 - 37*t^10 - 37*t^9 - 37*t^8 - 37*t^7 - 37*t^6 - 37*t^5 - 37*t^4
%F A170048 - 37*t^3 - 37*t^2 - 37*t + 1)
%K A170048 nonn
%O A170048 0,2
%A A170048 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009