The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A164630

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A164630

Number of reduced words of length n in Coxeter group on 18 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
(history; published version)

#11 by Michael De Vlieger at Thu Feb 22 13:33:07 EST 2024

STATUS

proposed

approved

#10 by Michel Marcus at Thu Feb 22 12:17:59 EST 2024

STATUS

editing

proposed

#9 by Michel Marcus at Thu Feb 22 12:17:52 EST 2024

LINKS

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (16, 16, 16, 16, 16, 16, -136).

FORMULA

G.f. : (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(136*t^7 - 16*t^6 -16*t^5 - 16*t^4 - 16*t^3 - 16*t^2 - 16*t + 1).

STATUS

approved

editing

#8 by Harvey P. Dale at Tue Jan 17 11:39:55 EST 2023

STATUS

editing

approved

#7 by Harvey P. Dale at Tue Jan 17 11:39:52 EST 2023

FORMULA

G.f. (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(136*t^7 - 16*t^6 -16*t^5 - 16*t^4 - 16*t^3 - 16*t^2 - 16*t + 1)

16*t^5 - 16*t^4 - 16*t^3 - 16*t^2 - 16*t + 1)

MATHEMATICA

coxG[{7, 136, -16}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jan 17 2023 *)

STATUS

approved

editing

#6 by Ray Chandler at Wed Nov 23 17:56:27 EST 2016

STATUS

editing

approved

#5 by Ray Chandler at Wed Nov 23 17:56:24 EST 2016

LINKS

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (16, 16, 16, 16, 16, 16, -136).

STATUS

approved

editing

#4 by N. J. A. Sloane at Sun Jul 13 09:05:31 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 16:51:30 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^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(136*t^7 - 16*t^6 -

KEYWORD

nonn,new

nonn