cp's OEIS Frontend

A169046 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^24 = I.

%I A169046 #10 Nov 25 2016 11:04:36
%S A169046 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A169046 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A169046 1188950301625810944,38046409652025950208,1217485108864830406656,38959523483674573012992
%N A169046 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^24 = I.
%C A169046 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A169046 First disagreement at index 24: a(24) = 1370766370653194493932051030914104816, A170752(24) = 1370766370653194493932051030914105344. - Klaus Brockhaus, Apr 20 2011
%C A169046 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169046 <a href="/index/Rec#order_24">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, -496).
%F A169046 G.f.: (t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 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 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^24 - 31*t^23 - 31*t^22 - 31*t^21 - 31*t^20 - 31*t^19 - 31*t^18 - 31*t^17 - 31*t^16 - 31*t^15 - 31*t^14 - 31*t^13 - 31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 - 31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1).
%t A169046 coxG[{24,496,-31}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jan 01 2016 *)
%Y A169046 Cf. A170752 (G.f.: (1+x)/(1-32*x)).
%K A169046 nonn
%O A169046 0,2
%A A169046 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009