A165650 Number of reduced words of length n in Coxeter group on 35 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

1, 35, 1190, 40460, 1375640, 46771760, 1590239840, 54068154560, 1838317255040, 62502786670765, 2125094746785780, 72253221390029295, 2456609527237630380, 83524723925285000820, 2839840613432679336480, 96554580855792733932720

Offset

0,2

Comments

The initial terms coincide with those of A170754, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (33, 33, 33, 33, 33, 33, 33, 33, -561).

Formula

G.f. (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)/(561*t^9 - 33*t^8 - 33*t^7 - 33*t^6 - 33*t^5 - 33*t^4 - 33*t^3 -

33*t^2 - 33*t + 1)

Mathematica

coxG[{9, 561, -33}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Oct 14 2022 *)

Crossrefs

Sequence in context: A164068 A164671 A165167 * A166145 A166429 A166683

Adjacent sequences: A165647 A165648 A165649 * A165651 A165652 A165653

Keyword

nonn

Author

John Cannon and N. J. A. Sloane, Dec 03 2009

Status

approved