cp's OEIS Frontend

A170530 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170530 #8 Sep 06 2021 16:26:25
%S A170530 1,41,1640,65600,2624000,104960000,4198400000,167936000000,
%T A170530 6717440000000,268697600000000,10747904000000000,429916160000000000,
%U A170530 17196646400000000000,687865856000000000000,27514634240000000000000
%N A170530 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170530 The initial terms coincide with those of A170760, although the two sequences are eventually different.
%C A170530 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170530 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, -780).
%F A170530 G.f. (t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 +
%F A170530 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170530 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170530 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170530 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170530 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(780*t^46 - 39*t^45 -
%F A170530 39*t^44 - 39*t^43 - 39*t^42 - 39*t^41 - 39*t^40 - 39*t^39 - 39*t^38 -
%F A170530 39*t^37 - 39*t^36 - 39*t^35 - 39*t^34 - 39*t^33 - 39*t^32 - 39*t^31 -
%F A170530 39*t^30 - 39*t^29 - 39*t^28 - 39*t^27 - 39*t^26 - 39*t^25 - 39*t^24 -
%F A170530 39*t^23 - 39*t^22 - 39*t^21 - 39*t^20 - 39*t^19 - 39*t^18 - 39*t^17 -
%F A170530 39*t^16 - 39*t^15 - 39*t^14 - 39*t^13 - 39*t^12 - 39*t^11 - 39*t^10 -
%F A170530 39*t^9 - 39*t^8 - 39*t^7 - 39*t^6 - 39*t^5 - 39*t^4 - 39*t^3 - 39*t^2 -
%F A170530 39*t + 1)
%t A170530 coxG[{46,780,-39}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 06 2021 *)
%K A170530 nonn
%O A170530 0,2
%A A170530 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009