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A165548 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I. 0
1, 32, 992, 30752, 953312, 29552672, 916132832, 28400117792, 880403651552, 27292513197616, 846067909110720, 26228105181956160, 813071260625880000, 25205209078944690240, 781361481433100114880, 24222205923986359801920 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The initial terms coincide with those of A170751, 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 (30, 30, 30, 30, 30, 30, 30, 30, -465).

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)/(465*t^9 - 30*t^8 - 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 -

30*t^2 - 30*t + 1)

CROSSREFS

Sequence in context: A164036 A164668 A165131 * A166128 A166426 A166622

Adjacent sequences:  A165545 A165546 A165547 * A165549 A165550 A165551

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified May 31 19:40 EDT 2020. Contains 334748 sequences. (Running on oeis4.)