cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A169360 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^31 = I.

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%I A169360 #12 May 08 2018 01:13:09
%S A169360 1,11,110,1100,11000,110000,1100000,11000000,110000000,1100000000,
%T A169360 11000000000,110000000000,1100000000000,11000000000000,
%U A169360 110000000000000,1100000000000000,11000000000000000,110000000000000000
%N A169360 Number of reduced words of length n in Coxeter group on 11 generators S_i with relations (S_i)^2 = (S_i S_j)^31 = I.
%C A169360 The initial terms coincide with those of A003953, although the two sequences are eventually different.
%C A169360 First disagreement at index 31: a(31) = 10999999999999999999999999999945, A003953(31) = 11000000000000000000000000000000. - _Klaus Brockhaus_, Jun 17 2011
%C A169360 Computed with Magma using commands similar to those used to compute A154638.
%H A169360 <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, -45).
%F A169360 G.f.: (t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*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)/(45*t^31 - 9*t^30 - 9*t^29 - 9*t^28 - 9*t^27 - 9*t^26 - 9*t^25 - 9*t^24 - 9*t^23 - 9*t^22 - 9*t^21 - 9*t^20 - 9*t^19 - 9*t^18 - 9*t^17 - 9*t^16 - 9*t^15 - 9*t^14 - 9*t^13 - 9*t^12 - 9*t^11 - 9*t^10 - 9*t^9 - 9*t^8 - 9*t^7 - 9*t^6 - 9*t^5 - 9*t^4 - 9*t^3 - 9*t^2 - 9*t + 1).
%Y A169360 Cf. A003953 (G.f.: (1+x)/(1-10*x)).
%K A169360 nonn
%O A169360 0,2
%A A169360 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009