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#6 by Ray Chandler at Wed Nov 23 18:29:26 EST 2016
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#5 by Ray Chandler at Wed Nov 23 18:29:23 EST 2016
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| LINKS
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<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (21, 21, 21, 21, 21, 21, 21, -231).
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| STATUS
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approved
editing
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#4 by N. J. A. Sloane at Sun Jul 13 09:05:32 EDT 2014
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| AUTHOR
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_John Cannon (john(AT)maths.usyd.edu.au) _ and N. J. A. Sloane, Dec 03 2009
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Discussion
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| Sun Jul 13
| 09:05
| OEIS Server: https://oeis.org/edit/global/2246
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#3 by Russ Cox at Fri Mar 30 16:51:30 EDT 2012
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| AUTHOR
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John Cannon (john(AT)maths.usyd.edu.au) and _N. J. A. Sloane (njas(AT)research.att.com), _, Dec 03 2009
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Discussion
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| Fri Mar 30
| 16:51
| OEIS Server: https://oeis.org/edit/global/110
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#2 by N. J. A. Sloane at Sun Jul 11 03:00:00 EDT 2010
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| FORMULA
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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)/(231*t^8 -
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| KEYWORD
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nonn,new
nonn
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#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010
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| NAME
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Number of reduced words of length n in Coxeter group on 23 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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| DATA
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1, 23, 506, 11132, 244904, 5387888, 118533536, 2607737792, 57370231171, 1262145080196, 27767191642113, 610878213438108, 13439320636494060, 295665052701694368, 6504631130811427152, 143101884248082720576
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| OFFSET
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0,2
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| COMMENTS
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The initial terms coincide with those of A170742, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
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| FORMULA
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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)/(231*t^8 -
21*t^7 - 21*t^6 - 21*t^5 - 21*t^4 - 21*t^3 - 21*t^2 - 21*t + 1)
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| KEYWORD
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nonn
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| AUTHOR
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John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane (njas(AT)research.att.com), Dec 03 2009
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| STATUS
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approved
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