

A165708


Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.


0



1, 48, 2256, 106032, 4983504, 234224688, 11008560336, 517402335792, 24317909782224, 1142941759763400, 53718262708826784, 2524758347312368224, 118663642323564247200, 5577191189202017829984, 262127985892236253953696
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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, 46, 46, 46, 46, 46, 46, 1081).


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)/(1081*t^9  46*t^8  46*t^7  46*t^6  46*t^5  46*t^4  46*t^3 
46*t^2  46*t + 1)


CROSSREFS

Sequence in context: A164348 A164693 A165180 * A166313 A166442 A166854
Adjacent sequences: A165705 A165706 A165707 * A165709 A165710 A165711


KEYWORD

nonn


AUTHOR

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


STATUS

approved



