The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A078100 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A078100

1/6 of the number of ways of 3-coloring a 4 X n grid.
(history; published version)

#24 by Charles R Greathouse IV at Thu Sep 08 08:45:08 EDT 2022

PROG

(MAGMAMagma) I:=[4, 27, 187]; [n le 3 select I[n] else 9*Self(n-1)-15*Self(n-2)+6*Self(n-3): n in [1..30]]; // Vincenzo Librandi, Feb 13 2016

Discussion

Thu Sep 08

08:45

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

#23 by N. J. A. Sloane at Mon Jun 26 22:17:22 EDT 2017

STATUS

proposed

approved

#22 by Andrew Howroyd at Mon Jun 26 16:26:11 EDT 2017

STATUS

editing

proposed

#21 by Andrew Howroyd at Mon Jun 26 16:21:58 EDT 2017

CROSSREFS

Row 4 of (1/2)*A078099/2.

#20 by Andrew Howroyd at Mon Jun 26 16:20:59 EDT 2017

NAME

One-half 1/6 of the number of ways of 3-coloring a 4 X n grid.

COMMENTS

Also the number of 3-colorings of the P_4 X P_n grid graph up to permutation of the colors. - Andrew Howroyd, Jun 26 2017

CROSSREFS

4th row Row 4 of A078099/2.

Row 4 of A207997.

EXTENSIONS

Name clarified by Andrew Howroyd, Jun 26 2017

STATUS

approved

editing

#19 by N. J. A. Sloane at Sat Feb 13 13:47:15 EST 2016

STATUS

proposed

approved

#18 by Vincenzo Librandi at Sat Feb 13 12:46:43 EST 2016

STATUS

editing

proposed

#17 by Vincenzo Librandi at Sat Feb 13 12:46:37 EST 2016

PROG

(MAGMA) I:=[4, 27, 187]; [n le 3 select I[n] else 9*Self(n-1)-15*Self(n-2)+6*Self(n-3): n in [1..30]]; // Vincenzo Librandi, Feb 13 2016

STATUS

proposed

editing

#16 by Jean-François Alcover at Sat Feb 13 12:34:32 EST 2016

STATUS

editing

proposed

#15 by Jean-François Alcover at Sat Feb 13 12:34:28 EST 2016

MATHEMATICA

LinearRecurrence[{9, -15, 6}, {4, 27, 187}, 21] (* Jean-François Alcover, Feb 13 2016 *)

STATUS

approved

editing