The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A201237

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A201237

Number of ways to place 3 non-attacking wazirs on an n X n toroidal board.
(history; published version)

#14 by Wesley Ivan Hurt at Fri Apr 10 02:13:26 EDT 2020

STATUS

editing

approved

#13 by Wesley Ivan Hurt at Fri Apr 10 02:13:10 EDT 2020

FORMULA

a(n) = n^2*(n^4-15n15*n^2+62)/6, n>=4.

G.f.: -2x2*x^3 * (3x3*x^7 - 15x15*x^6 + 25x25*x^5 - 7x7*x^4 - 17x17*x^3 - 15x15*x^2 + 83x 83*x + 3)/(x-1)^7.

STATUS

approved

editing

#12 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.402

Discussion

Sat Sep 12

11:00

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

#11 by Vaclav Kotesovec at Mon Apr 07 16:15:50 EDT 2014

STATUS

editing

approved

#10 by Vaclav Kotesovec at Mon Apr 07 16:15:42 EDT 2014

LINKS

V. Kotesovec, <a href="http://web.telecom.cz/vaclav.kotesovec/math.htm">Non-attacking chess pieces</a>, 4ed, 6ed, p.230402

FORMULA

G.f.: -2x^3 * (3x^7 - 15x^6 + 25x^5 - 7x^4 - 17x^3 - 15x^2 + 83x + 3)/(x-1)^7.

STATUS

approved

editing

#9 by N. J. A. Sloane at Tue May 08 09:44:09 EDT 2012

STATUS

editing

approved

#8 by N. J. A. Sloane at Tue May 08 09:44:06 EDT 2012

COMMENTS

Wazir A wazir is a leaper [0,1].

STATUS

approved

editing

#7 by Russ Cox at Fri Mar 30 19:00:55 EDT 2012

AUTHOR

_Vaclav Kotesovec (kotesovec(AT)chello.cz), _, Nov 28 2011

Discussion

Fri Mar 30

19:00

OEIS Server: https://oeis.org/edit/global/319

#6 by T. D. Noe at Mon Nov 28 17:26:13 EST 2011

STATUS

editing

approved

#5 by T. D. Noe at Mon Nov 28 17:26:05 EST 2011

NAME

Number of ways to place 3 non-attacking wazirs on an n X n toroidal board.

FORMULA

Explicit formula a(Vaclav Kotesovec, May 12 2010n): 1/6* = n^2*(n^4-15n^2+62), /6, n>=4.

CROSSREFS

Cf. A172226, A201236, A201238, A201239, A201240, A201241, A201242.

STATUS

proposed

editing