login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162913 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I. 0
1, 48, 2256, 104904, 4877472, 226750560, 10541488248, 490066437936, 22782847249104, 1059158680807752, 49239548471206560, 2289112271116376928, 106419233167075660536, 4947355938259459431984, 229999127520543810796752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The initial terms coincide with those of A170767, 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..14.

Index entries for linear recurrences with constant coefficients, signature (46, 46, -1081).

FORMULA

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(1081*t^3 - 46*t^2 - 46*t + 1)

MATHEMATICA

coxG[{3, 1081, -46}] (* The coxG program is at A169452 *) (* or *) LinearRecurrence[{46, 46, -1081}, {1, 48, 2256, 104904}, 30] (* Harvey P. Dale, Dec 30 2017 *)

CROSSREFS

Sequence in context: A301859 A233259 A049678 * A156093 A163266 A163829

Adjacent sequences:  A162910 A162911 A162912 * A162914 A162915 A162916

KEYWORD

nonn

AUTHOR

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

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 07:51 EDT 2019. Contains 322381 sequences. (Running on oeis4.)