cp's OEIS Frontend

A170103 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.

%I A170103 #8 Aug 09 2017 11:57:20
%S A170103 1,46,2070,93150,4191750,188628750,8488293750,381973218750,
%T A170103 17188794843750,773495767968750,34807309558593750,1566328930136718750,
%U A170103 70484801856152343750,3171816083526855468750,142731723758708496093750
%N A170103 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.
%C A170103 The initial terms coincide with those of A170765, although the two sequences are eventually different.
%C A170103 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170103 <a href="/index/Rec#order_37">Index entries for linear recurrences with constant coefficients</a>, signature (44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, -990).
%F A170103 G.f. (t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 +
%F A170103 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 A170103 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 A170103 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 A170103 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(990*t^37 - 44*t^36 - 44*t^35 -
%F A170103 44*t^34 - 44*t^33 - 44*t^32 - 44*t^31 - 44*t^30 - 44*t^29 - 44*t^28 -
%F A170103 44*t^27 - 44*t^26 - 44*t^25 - 44*t^24 - 44*t^23 - 44*t^22 - 44*t^21 -
%F A170103 44*t^20 - 44*t^19 - 44*t^18 - 44*t^17 - 44*t^16 - 44*t^15 - 44*t^14 -
%F A170103 44*t^13 - 44*t^12 - 44*t^11 - 44*t^10 - 44*t^9 - 44*t^8 - 44*t^7 -
%F A170103 44*t^6 - 44*t^5 - 44*t^4 - 44*t^3 - 44*t^2 - 44*t + 1)
%t A170103 coxG[{37,990,-44}] (* _Harvey P. Dale_, Aug 09 2017 *)
%K A170103 nonn
%O A170103 0,2
%A A170103 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009