The On-Line Encyclopedia of Integer Sequences (OEIS)

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A201243

Number of ways to place 2 non-attacking ferses on an n X n board.
(history; published version)

#22 by Charles R Greathouse IV at Thu Sep 08 08:46:01 EDT 2022

PROG

(MAGMAMagma) I:=[0, 4, 28, 102, 268]; [n le 5 select I[n] else 5*Self(n-1)-10*Self(n-2)+10*Self(n-3)-5*Self(n-4)+Self(n-5): n in [1..40]]; /* or */ [(n-1)*(n^3+n^2-4*n+4)/2: n in [1..40]]; // Vincenzo Librandi, Apr 30 2013

Discussion

Thu Sep 08

08:46

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

#21 by Charles R Greathouse IV at Sat Jun 17 03:06:25 EDT 2017

LINKS

<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

Discussion

Sat Jun 17

03:06

OEIS Server: https://oeis.org/edit/global/2666

#20 by N. J. A. Sloane at Sat Sep 12 11:00:27 EDT 2015

LINKS

V. Kotesovec, <a href="httphttps://web.telecomoeis.czorg/vaclav.kotesovecwiki/math.htmUser:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, p.415

Discussion

Sat Sep 12

11:00

OEIS Server: https://oeis.org/edit/global/2459

#19 by Charles R Greathouse IV at Sat Jun 13 00:54:08 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

Discussion

Sat Jun 13

00:54

OEIS Server: https://oeis.org/edit/global/2439

#18 by Charles R Greathouse IV at Fri Jun 12 15:33:19 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

Discussion

Fri Jun 12

15:33

OEIS Server: https://oeis.org/edit/global/2437

#17 by Charles R Greathouse IV at Fri Jun 12 15:19:34 EDT 2015

LINKS

<a href="/Sindx_Rea.htmlindex/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

Discussion

Fri Jun 12

15:19

OEIS Server: https://oeis.org/edit/global/2434

#16 by Harvey P. Dale at Wed Dec 31 17:07:00 EST 2014

STATUS

editing

approved

#15 by Harvey P. Dale at Wed Dec 31 17:06:53 EST 2014

MATHEMATICA

LinearRecurrence[{5, -10, 10, -5, 1}, {0, 4, 28, 102, 268}, 40] (* Harvey P. Dale, Dec 31 2014 *)

STATUS

approved

editing

#14 by Vaclav Kotesovec at Mon Apr 07 16:20:33 EDT 2014

STATUS

editing

approved

#13 by Vaclav Kotesovec at Mon Apr 07 16:20:24 EDT 2014

COMMENTS

Fers is a leaper [1,1].

LINKS

V. Kotesovec, <a href="http://web.telecom.cz/vaclav.kotesovec/math.htm">Non-attacking chess pieces</a>, 4ed, 6ed, p.233415

STATUS

approved

editing