cp's OEIS Frontend

A170504 Number of reduced words of length n in Coxeter group on 15 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170504 #6 Nov 21 2016 14:04:29
%S A170504 1,15,210,2940,41160,576240,8067360,112943040,1581202560,22136835840,
%T A170504 309915701760,4338819824640,60743477544960,850408685629440,
%U A170504 11905721598812160,166680102383370240,2333521433367183360
%N A170504 Number of reduced words of length n in Coxeter group on 15 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170504 The initial terms coincide with those of A170734, although the two sequences are eventually different.
%C A170504 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170504 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, -91).
%F A170504 G.f. (t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 +
%F A170504 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170504 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170504 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170504 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170504 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(91*t^46 - 13*t^45 -
%F A170504 13*t^44 - 13*t^43 - 13*t^42 - 13*t^41 - 13*t^40 - 13*t^39 - 13*t^38 -
%F A170504 13*t^37 - 13*t^36 - 13*t^35 - 13*t^34 - 13*t^33 - 13*t^32 - 13*t^31 -
%F A170504 13*t^30 - 13*t^29 - 13*t^28 - 13*t^27 - 13*t^26 - 13*t^25 - 13*t^24 -
%F A170504 13*t^23 - 13*t^22 - 13*t^21 - 13*t^20 - 13*t^19 - 13*t^18 - 13*t^17 -
%F A170504 13*t^16 - 13*t^15 - 13*t^14 - 13*t^13 - 13*t^12 - 13*t^11 - 13*t^10 -
%F A170504 13*t^9 - 13*t^8 - 13*t^7 - 13*t^6 - 13*t^5 - 13*t^4 - 13*t^3 - 13*t^2 -
%F A170504 13*t + 1)
%K A170504 nonn
%O A170504 0,2
%A A170504 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009