A215904 -id:A215904 - cp's OEIS frontend

A215924 T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 4, 5, 2, 5, 15, 42, 42, 15, 5, 5, 52, 136, 602, 136, 52, 5, 15, 203, 2906, 12840, 12840, 2906, 203, 15, 15, 877, 12840, 373780, 322768, 373780, 12840, 877, 15, 52, 4140, 433252, 14050312, 87852626, 87852626, 14050312, 433252

Offset: 1

R. H. Hardin Aug 27 2012

Table starts
..1.....1.........1.............2..................2.......................5
..1.....1.........2.............5.................15......................52
..1.....2.........4............42................136....................2906
..2.....5........42...........602..............12840..................373780
..2....15.......136.........12840.............322768................87852626
..5....52......2906........373780...........87852626.............33093356640
..5...203.....12840......14050312.........4044766240..........18383354944364
.15...877....433252.....656404264......2227156082842.......14216420563705724
.15..4140...2387180...37060650272....157752739276184....14670987605491079080
.52.21147.113503692.2475181138384.148049849095504726.19558496206477343793824

			Some solutions for n=3 k=4
..x..0..x..1....x..0..x..0....x..0..x..1....x..0..x..1....x..0..x..1
..1..x..2..x....1..x..2..x....2..x..3..x....2..x..3..x....2..x..2..x
..x..3..x..1....x..3..x..0....x..0..x..1....x..4..x..0....x..1..x..1

R. H. Hardin, Table of n, a(n) for n = 1..127

Column 2 is A000110(n-1)
Column 4 is A208302
Column 6 is A215902
Even squares: A215904

A215902 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX6 array with new integer colors introduced in row major order.

Original entry on oeis.org

5, 52, 2906, 373780, 87852626, 33093356640, 18383354944364, 14216420563705724, 14670987605491079080, 19558496206477343793824, 32828323775130245290328888, 67939294184937980415465539016, 170381709311721603692658697682568

Offset: 1

R. H. Hardin Aug 26 2012

nonn

Column 6 of A215904

			Some solutions for n=3
..0..x..1..x..1..x....0..x..1..x..2..x....0..x..1..x..2..x....0..x..1..x..2..x
..x..2..x..3..x..2....x..3..x..3..x..1....x..3..x..3..x..4....x..3..x..0..x..4
..4..x..5..x..4..x....2..x..2..x..4..x....1..x..1..x..2..x....2..x..5..x..2..x

R. H. Hardin, Table of n, a(n) for n = 1..15

A215900 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order.

Original entry on oeis.org

2, 2, 15, 42, 726, 2906, 84550, 433252, 18378580, 113503692, 6485270720, 46538017584, 3404551437592, 27700815674032, 2504332323669064, 22702140562948192, 2470653950084307472, 24626774613248937584

Offset: 1

R. H. Hardin Aug 26 2012

nonn

Column 3 of A215904

			Some solutions for n=3
..0..x..1....0..x..1....0..x..1....0..x..1....0..x..0....0..x..1....0..x..0
..x..2..x....x..2..x....x..2..x....x..2..x....x..1..x....x..2..x....x..1..x
..1..x..3....3..x..0....3..x..4....1..x..1....0..x..0....1..x..0....2..x..3

R. H. Hardin, Table of n, a(n) for n = 1..96

A215901 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX5 array with new integer colors introduced in row major order.

Original entry on oeis.org

5, 15, 726, 12840, 2387217, 87852626, 37060769357, 2227156082842, 1701536105684377, 148049849095504726, 180712665575010594347, 21183598567292002167082, 38119060864386172887309827

Offset: 1

R. H. Hardin Aug 26 2012

nonn

Column 5 of A215904

			Some solutions for n=3
..0..x..1..x..2....0..x..1..x..2....0..x..1..x..1....0..x..1..x..2
..x..3..x..3..x....x..3..x..4..x....x..2..x..2..x....x..3..x..4..x
..2..x..2..x..2....5..x..6..x..5....3..x..4..x..3....0..x..2..x..3

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

A215899 Number of diagonal and antidiagonal neighbor colorings of the even squares of an n X n array with new integer colors introduced in row major order.

Original entry on oeis.org

1, 1, 15, 602, 2387217, 33093356640, 148049909203591059

Offset: 1

R. H. Hardin Aug 26 2012

nonn

Diagonal of A215904

			Some solutions for n=3
..0..x..0....0..x..0....0..x..0....0..x..1....0..x..1....0..x..1....0..x..1
..x..1..x....x..1..x....x..1..x....x..2..x....x..2..x....x..2..x....x..2..x
..2..x..2....2..x..0....2..x..3....1..x..3....3..x..3....0..x..0....1..x..0

A215903 Number of diagonal and antidiagonal neighbor colorings of the even squares of an n X 7 array with new integer colors introduced in row major order.

Original entry on oeis.org

15, 203, 84550, 14050312, 37060769357, 18383354944364, 148049909203591059, 152834703746357948488, 2765650341438362598776986, 4971673449387903153569761420, 170381714096217475684749198312607

Offset: 1

R. H. Hardin, Aug 26 2012

nonn

Column 7 of A215904.

			Some solutions for n=3
..0..x..1..x..2..x..3....0..x..1..x..2..x..3....0..x..0..x..1..x..2
..x..4..x..4..x..5..x....x..4..x..5..x..4..x....x..3..x..4..x..5..x
..6..x..6..x..0..x..1....0..x..0..x..0..x..3....6..x..1..x..0..x..2

Cf. A215904.

cp's OEIS Frontend

A215924 T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order.

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A215902 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX6 array with new integer colors introduced in row major order.

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A215900 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX3 array with new integer colors introduced in row major order.

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A215901 Number of diagonal and antidiagonal neighbor colorings of the even squares of an nX5 array with new integer colors introduced in row major order.

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A215899 Number of diagonal and antidiagonal neighbor colorings of the even squares of an n X n array with new integer colors introduced in row major order.

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A215903 Number of diagonal and antidiagonal neighbor colorings of the even squares of an n X 7 array with new integer colors introduced in row major order.

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