cp's OEIS Frontend

A170186 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.

%I A170186 #6 Nov 22 2016 15:57:30
%S A170186 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A170186 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A170186 1188950301625810944,38046409652025950208,1217485108864830406656,38959523483674573012992
%N A170186 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.
%C A170186 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A170186 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170186 <a href="/index/Rec#order_39">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, -496).
%F A170186 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 A170186 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 A170186 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 A170186 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 A170186 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^39 -
%F A170186 31*t^38 - 31*t^37 - 31*t^36 - 31*t^35 - 31*t^34 - 31*t^33 - 31*t^32 -
%F A170186 31*t^31 - 31*t^30 - 31*t^29 - 31*t^28 - 31*t^27 - 31*t^26 - 31*t^25 -
%F A170186 31*t^24 - 31*t^23 - 31*t^22 - 31*t^21 - 31*t^20 - 31*t^19 - 31*t^18 -
%F A170186 31*t^17 - 31*t^16 - 31*t^15 - 31*t^14 - 31*t^13 - 31*t^12 - 31*t^11 -
%F A170186 31*t^10 - 31*t^9 - 31*t^8 - 31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 -
%F A170186 31*t^2 - 31*t + 1)
%K A170186 nonn
%O A170186 0,2
%A A170186 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009