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.
%I A167714 #12 Jun 07 2025 16:52:45
%S A167714 1,29,812,22736,636608,17825024,499100672,13974818816,391294926848,
%T A167714 10956257951744,306775222648832,8589706234167296,240511774556684288,
%U A167714 6734329687587160064,188561231252440481792,5279714475068333489770
%N A167714 Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I.
%C A167714 The initial terms coincide with those of A170748, although the two sequences are eventually different.
%C A167714 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167714 G. C. Greubel, <a href="/A167714/b167714.txt">Table of n, a(n) for n = 0..500</a>
%H A167714 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, -378).
%F A167714 G.f.: (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)/(378*t^15 - 27*t^14 - 27*t^13 - 27*t^12 - 27*t^11 - 27*t^10 - 27*t^9 - 27*t^8 - 27*t^7 - 27*t^6 - 27*t^5 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1).
%t A167714 CoefficientList[Series[(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)/(378*t^15 - 27*t^14 - 27*t^13 - 27*t^12 - 27*t^11 - 27*t^10 - 27*t^9 - 27*t^8 - 27*t^7 - 27*t^6 - 27*t^5 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 20 2016 *)
%t A167714 coxG[{15,378,-27}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jun 07 2025 *)
%K A167714 nonn
%O A167714 0,2
%A A167714 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009