login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

A164688
Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
0
1, 44, 1892, 81356, 3498308, 150427244, 6468371492, 278139973210, 11960018807352, 514280806967928, 22114074624447960, 950905205618825688, 40888923702614731128, 1758223713235658179896, 75603619412131966509354
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170763, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
FORMULA
G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(903*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1).
CROSSREFS
Sequence in context: A163230 A163748 A164277 * A165176 A165695 A166254
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved