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A162811 Number of reduced words of length n in Coxeter group on 25 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0
1, 25, 600, 14100, 331200, 7776300, 182580900, 4286804400, 100649603100, 2363145044100, 55484118871200, 1302707779596300, 30586185632580900, 718130931671624400, 16860946350828143100, 395876990262902324100 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The initial terms coincide with those of A170744, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
LINKS
FORMULA
G.f.: (t^3 + 2*t^2 + 2*t + 1)/(276*t^3 - 23*t^2 - 23*t + 1)
MATHEMATICA
coxG[{3, 276, -23}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Sep 10 2021 *)
CROSSREFS
Sequence in context: A228827 A159661 A104643 * A163175 A163525 A163993
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved

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Last modified July 21 02:16 EDT 2024. Contains 374462 sequences. (Running on oeis4.)