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A165176 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I. 0
1, 44, 1892, 81356, 3498308, 150427244, 6468371492, 278139974156, 11960018887762, 514280812133088, 22114074919974576, 950905221483733824, 40888924520568117840, 1758223754245434293664, 75603621426576899368944 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=0..14.

Index entries for linear recurrences with constant coefficients, signature (42, 42, 42, 42, 42, 42, 42, -903).

FORMULA

G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(903*t^8 -

42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1)

MATHEMATICA

coxG[{8, 903, -42}] (* The coxG program is at A169452 *) (* Harvey P. Dale, May 27 2019 *)

CROSSREFS

Sequence in context: A163748 A164277 A164688 * A165695 A166254 A166438

Adjacent sequences:  A165173 A165174 A165175 * A165177 A165178 A165179

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified June 19 15:03 EDT 2021. Contains 345141 sequences. (Running on oeis4.)