cp's OEIS Frontend

A170474 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^45 = I.

%I A170474 #6 Nov 21 2016 17:00:01
%S A170474 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A170474 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A170474 1188950301625810944,38046409652025950208,1217485108864830406656,38959523483674573012992
%N A170474 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^45 = I.
%C A170474 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A170474 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170474 <a href="/index/Rec#order_45">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, -496).
%F A170474 G.f. (t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 +
%F A170474 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 +
%F A170474 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 +
%F A170474 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 +
%F A170474 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 +
%F A170474 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^45 - 31*t^44 - 31*t^43 -
%F A170474 31*t^42 - 31*t^41 - 31*t^40 - 31*t^39 - 31*t^38 - 31*t^37 - 31*t^36 -
%F A170474 31*t^35 - 31*t^34 - 31*t^33 - 31*t^32 - 31*t^31 - 31*t^30 - 31*t^29 -
%F A170474 31*t^28 - 31*t^27 - 31*t^26 - 31*t^25 - 31*t^24 - 31*t^23 - 31*t^22 -
%F A170474 31*t^21 - 31*t^20 - 31*t^19 - 31*t^18 - 31*t^17 - 31*t^16 - 31*t^15 -
%F A170474 31*t^14 - 31*t^13 - 31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 -
%F A170474 31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)
%K A170474 nonn
%O A170474 0,2
%A A170474 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009