cp's OEIS Frontend

A170666 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.

%I A170666 #6 Nov 21 2016 11:29:01
%S A170666 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A170666 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A170666 1188950301625810944,38046409652025950208,1217485108864830406656,38959523483674573012992
%N A170666 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.
%C A170666 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A170666 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170666 <a href="/index/Rec#order_49">Index entries for linear recurrences with constant coefficients</a>, signature (31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, -496).
%F A170666 G.f. (t^49 + 2*t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 +
%F A170666 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 +
%F A170666 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A170666 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A170666 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A170666 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170666 1)/(496*t^49 - 31*t^48 - 31*t^47 - 31*t^46 - 31*t^45 - 31*t^44 - 31*t^43
%F A170666 - 31*t^42 - 31*t^41 - 31*t^40 - 31*t^39 - 31*t^38 - 31*t^37 - 31*t^36 -
%F A170666 31*t^35 - 31*t^34 - 31*t^33 - 31*t^32 - 31*t^31 - 31*t^30 - 31*t^29 -
%F A170666 31*t^28 - 31*t^27 - 31*t^26 - 31*t^25 - 31*t^24 - 31*t^23 - 31*t^22 -
%F A170666 31*t^21 - 31*t^20 - 31*t^19 - 31*t^18 - 31*t^17 - 31*t^16 - 31*t^15 -
%F A170666 31*t^14 - 31*t^13 - 31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 -
%F A170666 31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)
%K A170666 nonn
%O A170666 0,2
%A A170666 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009