A264954 -id:A264954

A264955

Number of 3Xn arrays containing n copies of 0..3-1 with no equal horizontal or vertical neighbors.

+10
1

6, 12, 36, 114, 420, 1584, 6228, 24930, 101376, 417504, 1734876, 7271238, 30667068, 130119672, 554721564, 2375331042, 10209040920, 44027206416, 190434749196, 825936571446, 3590858184996, 15646265986056, 68311732725204

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 3 of A264954.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..123

EXAMPLE

Some solutions for n=4

..2..1..0..2....0..2..0..2....0..1..2..1....0..2..1..2....1..0..1..2

..0..2..1..0....2..1..2..1....2..0..1..2....2..1..0..1....0..2..0..1

..2..1..0..1....1..0..1..0....0..1..2..0....0..2..1..0....2..0..1..2

CROSSREFS

Cf. A264954.

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved

A264956

Number of 4 X n arrays containing n copies of 0..4-1 with no equal horizontal or vertical neighbors.

+10
1

24, 504, 10728, 269352, 7340712, 212706840, 6427851432, 200437195992, 6401503898904, 208353728741064, 6885992401320264, 230473529137180056, 7796234052703001880, 266117752529540837544, 9154725401806039272072

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 4 of A264954.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..24

EXAMPLE

Some solutions for n=3

..0..1..2....3..2..3....2..1..2....1..3..1....2..1..3....2..3..0....0..2..3

..3..2..1....2..0..1....3..2..0....0..1..0....3..0..1....3..2..1....1..0..1

..1..3..0....1..3..2....0..3..1....3..2..3....2..3..0....0..1..3....3..2..0

..2..0..3....0..1..0....3..1..0....2..0..2....1..0..2....2..0..1....2..1..3

CROSSREFS

Cf. A264954.

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved

A264952

Number of nX2 arrays containing 2 copies of 0..n-1 with no equal horizontal or vertical neighbors.

+10
0

0, 2, 12, 504, 22320, 1521360, 140394240, 17034433920, 2627788262400, 502511002156800, 116684130094963200, 32342603041381248000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Column 2 of A264954.

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

Some solutions for n=4

..1..2....2..0....2..3....2..1....3..1....0..3....1..2....3..2....0..1....3..1

..0..3....3..1....0..1....0..2....0..3....2..1....2..0....0..1....2..3....1..3

..3..1....0..2....1..3....3..0....2..0....1..3....0..3....2..3....1..0....2..0

..0..2....3..1....2..0....1..3....1..2....0..2....3..1....0..1....3..2....0..2

CROSSREFS

Cf. A264954.

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved

A264953

Number of nX3 arrays containing 3 copies of 0..n-1 with no equal horizontal or vertical neighbors.

+10
0

0, 2, 36, 10728, 4857120, 4099655520, 5589688315680, 11532215497783680

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Column 3 of A264954.

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

Some solutions for n=4

..3..1..2....3..2..0....0..3..1....1..0..2....1..3..1....2..0..3....0..3..0

..1..3..0....2..1..2....1..0..2....0..2..3....0..1..2....1..3..1....3..0..1

..0..1..2....3..0..1....2..3..0....3..1..0....2..3..0....3..0..2....2..1..2

..2..3..0....1..3..0....3..1..2....1..3..2....3..0..2....2..1..0....1..2..3

CROSSREFS

Cf. A264954.

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved

A264957

Number of 5Xn arrays containing n copies of 0..5-1 with no equal horizontal or vertical neighbors.

+10
0

120, 22320, 4857120, 1286876160, 378296480400, 119417031121560, 39653227389625800, 13674544263132249120

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 5 of A264954.

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

Some solutions for n=2

..3..0....3..4....3..1....2..3....1..2....0..2....0..1....1..2....4..1....4..2

..2..1....0..2....0..4....1..0....3..0....3..1....4..2....0..3....3..4....3..1

..4..0....3..1....2..3....2..4....1..4....1..4....1..0....4..1....2..1....0..4

..3..2....2..0....4..0....1..3....2..0....4..2....3..4....0..4....3..0....2..3

..1..4....1..4....1..2....0..4....4..3....3..0....2..3....3..2....0..2....0..1

CROSSREFS

Cf. A264954.

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved