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.

A165170 Number of reduced words of length n in Coxeter group on 38 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165170 #6 Nov 23 2016 18:34:29
%S A165170 1,38,1406,52022,1924814,71218118,2635070366,97497603542,
%T A165170 3607411330351,133474219196976,4938546109326408,182726206009494048,
%U A165170 6760869621034707000,250152175929570966288,9255630507591737622312
%N A165170 Number of reduced words of length n in Coxeter group on 38 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165170 The initial terms coincide with those of A170757, although the two sequences are eventually different.
%C A165170 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165170 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (36, 36, 36, 36, 36, 36, 36, -666).
%F A165170 G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(666*t^8 -
%F A165170 36*t^7 - 36*t^6 - 36*t^5 - 36*t^4 - 36*t^3 - 36*t^2 - 36*t + 1)
%K A165170 nonn
%O A165170 0,2
%A A165170 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009