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Revision History for A167092 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A167092 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
(history; published version)
#11 by Harvey P. Dale at Tue Jun 21 15:35:54 EDT 2022
STATUS

editing

approved

#10 by Harvey P. Dale at Tue Jun 21 15:35:52 EDT 2022
MATHEMATICA

coxG[{13, 703, -37}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jun 21 2022 *)

STATUS

approved

editing

#9 by Ray Chandler at Thu Nov 24 10:34:44 EST 2016
STATUS

editing

approved

#8 by Ray Chandler at Thu Nov 24 10:34:42 EST 2016
LINKS

<a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, 37, -703).

STATUS

approved

editing

#7 by Alois P. Heinz at Thu Jun 02 10:31:21 EDT 2016
STATUS

proposed

approved

#6 by G. C. Greubel at Thu Jun 02 10:11:16 EDT 2016
STATUS

editing

proposed

#5 by G. C. Greubel at Thu Jun 02 10:11:10 EDT 2016
LINKS

G. C. Greubel, <a href="/A167092/b167092.txt">Table of n, a(n) for n = 0..500</a>

FORMULA

G.f. (.: (t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*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)/(703*t^13 - 37*t^12 - 37*t^11 - 37*t^10 - 37*t^9 - 37*t^8 - 37*t^7 - 37*t^6 - 37*t^5 + - 37*t^4 - 37*t^3 - 37*t^2 - 37*t + 1).

2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(703*t^13 - 37*t^12 - 37*t^11 - 37*t^10

- 37*t^9 - 37*t^8 - 37*t^7 - 37*t^6 - 37*t^5 - 37*t^4 - 37*t^3 - 37*t^2

- 37*t + 1)

MATHEMATICA

CoefficientList[Series[(t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*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)/(703*t^13 - 37*t^12 - 37*t^11 - 37*t^10 - 37*t^9 - 37*t^8 - 37*t^7 - 37*t^6 - 37*t^5 - 37*t^4 - 37*t^3 - 37*t^2 - 37*t + 1), {t, 0, 50}], t] (* G. C. Greubel, Jun 02 2016 *)

STATUS

approved

editing

#4 by N. J. A. Sloane at Sun Jul 13 09:05:39 EDT 2014
AUTHOR

_John Cannon (john(AT)maths.usyd.edu.au) _ and N. J. A. Sloane, Dec 03 2009

Discussion
Sun Jul 13 09:05
OEIS Server: https://oeis.org/edit/global/2246
#3 by Russ Cox at Fri Mar 30 16:51:32 EDT 2012
AUTHOR

John Cannon (john(AT)maths.usyd.edu.au) and _N. J. A. Sloane (njas(AT)research.att.com), _, Dec 03 2009

Discussion
Fri Mar 30 16:51
OEIS Server: https://oeis.org/edit/global/110
#2 by N. J. A. Sloane at Sun Jul 11 03:00:00 EDT 2010
FORMULA

G,.f.: (. (t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 +

KEYWORD

nonn,new

nonn

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Last modified August 30 23:33 EDT 2024. Contains 375550 sequences. (Running on oeis4.)