The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A000561 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A000561

Number of discordant permutations.
(history; published version)

#47 by Charles R Greathouse IV at Thu Sep 08 08:44:28 EDT 2022

PROG

(MAGMAMagma) [(9/2)*n^3-(45/2)*n^2+29*n: n in [3..45]]; // Vincenzo Librandi, Feb 10 2016

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#46 by Charles R Greathouse IV at Wed Apr 13 13:25:15 EDT 2022

LINKS

Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.

Discussion

Wed Apr 13

13:25

OEIS Server: https://oeis.org/edit/global/2938

#45 by Harvey P. Dale at Tue Jul 20 15:00:26 EDT 2021

STATUS

editing

approved

#44 by Harvey P. Dale at Tue Jul 20 15:00:22 EDT 2021

MATHEMATICA

Drop[CoefficientList[Series[x^3(6+20x+5x^2-4x^3)/(1-x)^4, {x, 0, 50}], x], 3] (* Harvey P. Dale, Jul 20 2021 *)

STATUS

approved

editing

#43 by Charles R Greathouse IV at Fri Mar 12 22:32:34 EST 2021

LINKS

Simon Plouffe, <a href="https://arxiv.org/ftp/arxiv/papers/0911abs/0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.

Discussion

Fri Mar 12

22:32

OEIS Server: https://oeis.org/edit/global/2898

#42 by N. J. A. Sloane at Mon Feb 22 14:14:28 EST 2021

LINKS

Simon Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articlesA000051/FonctionsGeneratricesa000051_2.pdf">1031 Generating Functions and Conjectures</a>, Université du Québec à Montréal, Appendix to Thesis, Montreal, 1992.

Discussion

Mon Feb 22

14:14

OEIS Server: https://oeis.org/edit/global/2888

#41 by N. J. A. Sloane at Mon Feb 22 12:12:18 EST 2021

LINKS

Simon Plouffe, <a href="httphttps://www.lacim.uqamarxiv.caorg/ftp/arxiv/%7Eplouffepapers/articles0911/MasterThesis0911.4975.pdf">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992.

Discussion

Mon Feb 22

12:12

OEIS Server: https://oeis.org/edit/global/2887

#40 by Susanna Cuyler at Fri Nov 23 21:14:59 EST 2018

STATUS

proposed

approved

#39 by Michel Marcus at Fri Nov 23 18:00:36 EST 2018

STATUS

editing

proposed

Discussion

Fri Nov 23

18:30

Jon E. Schoenfield: Thanks, Michel -- I was unsure about leaving that in the Extensions.

#38 by Michel Marcus at Fri Nov 23 18:00:33 EST 2018

FORMULA

G.f.: x^3*(6 + 20*x + 5*x^2 - 4*x^3) / (1 - x)^4. - Jeffrey Shallit [adapted by _Vincenzo Librandi_, Feb 10 2016]

EXTENSIONS

G.f. adapted by Vincenzo Librandi, Feb 10 2016

STATUS

proposed

editing