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Revision History for A008584 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A008584 Molien series for Weyl group E_6.
(history; published version)
#32 by Jon E. Schoenfield at Sun Aug 14 16:47:51 EDT 2022
STATUS

editing

approved

#31 by Jon E. Schoenfield at Sun Aug 14 16:47:47 EDT 2022
PROG

(MAGMAMagma) MolienSeries(CoxeterGroup("E6")); // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

STATUS

approved

editing

#30 by Susanna Cuyler at Sat Feb 01 14:37:14 EST 2020
STATUS

proposed

approved

#29 by G. C. Greubel at Sat Feb 01 03:50:13 EST 2020
STATUS

editing

proposed

#28 by G. C. Greubel at Sat Feb 01 03:48:54 EST 2020
LINKS

<a href="/index/Rec#order_42">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,0,1,1,-1,0,1,-1,-2,1,0,-3,0,2,-1,-1,3,1,-2,1,3,-1,-1,2,0,-3,0,1,-2,-1,1,0,-1,1,1,0,0,1,0,-1).

FORMULA

G.f.: 1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12)))).

MAPLE

seq(coeff(series(1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12)), x, n+1), x, n), n = 0..60); # G. C. Greubel, Jan 31 2020

PROG

(PARI) my(x='x+O('x^60)); Vec(1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12))) \\ G. C. Greubel, Jan 31 2020

(Sage)

def A008584_list(prec):

P.<x> = PowerSeriesRing(ZZ, prec)

return P( 1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12)) ).list()

A008584_list(60) # G. C. Greubel, Jan 31 2020

STATUS

approved

editing

#27 by Joerg Arndt at Sat Jan 27 06:28:37 EST 2018
STATUS

proposed

approved

#26 by Michel Marcus at Sat Jan 27 04:21:15 EST 2018
STATUS

editing

proposed

#25 by Michel Marcus at Sat Jan 27 04:21:12 EST 2018
FORMULA

G.f. .: 1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)*(1-x^9)*(1-x^12))

STATUS

proposed

editing

#24 by Jon E. Schoenfield at Sat Jan 27 04:20:21 EST 2018
STATUS

editing

proposed

#23 by Jon E. Schoenfield at Sat Jan 27 04:20:18 EST 2018
PROG

(MAGMA) MolienSeries(CoxeterGroup("E6")); - from ")); // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

AUTHOR

_N. J. A. Sloane_._

STATUS

approved

editing

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Last modified August 30 13:06 EDT 2024. Contains 375543 sequences. (Running on oeis4.)