A215924 -id:A215924 - cp's OEIS frontend

A215904 T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 15, 5, 5, 5, 15, 42, 42, 15, 5, 15, 52, 726, 602, 726, 52, 15, 15, 203, 2906, 12840, 12840, 2906, 203, 15, 52, 877, 84550, 373780, 2387217, 373780, 84550, 877, 52, 52, 4140, 433252, 14050312, 87852626, 87852626, 14050312, 433252

Offset: 1

R. H. Hardin Aug 26 2012

Table starts
...1......1...........2...............2..................5....................5
...1......1...........2...............5.................15...................52
...2......2..........15..............42................726.................2906
...2......5..........42.............602..............12840...............373780
...5.....15.........726...........12840............2387217.............87852626
...5.....52........2906..........373780...........87852626..........33093356640
..15....203.......84550........14050312........37060769357.......18383354944364
..15....877......433252.......656404264......2227156082842....14216420563705724
..52...4140....18378580.....37060650272...1701536105684377.14670987605491079080
..52..21147...113503692...2475181138384.148049849095504726
.203.115975..6485270720.192262536609952
.203.678570.46538017584

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

R. H. Hardin, Table of n, a(n) for n = 1..112

Column 2 is A000110(n-1)
Column 4 is A208302
Odd squares: A215924

A215921 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an n X 3 array with new integer colors introduced in row major order.

Original entry on oeis.org

1, 2, 4, 42, 136, 2906, 12840, 433252, 2387180, 113503692, 742181112, 46538017584, 350038464728, 27700815674032, 234578644301776, 22702140562948192, 213078984368820288, 24626774613248937584, 253140626416265149920

Offset: 1

R. H. Hardin Aug 27 2012

nonn

Column 3 of A215924.

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

R. H. Hardin, Table of n, a(n) for n = 1..98

Cf. A215924.

A215922 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nX5 array with new integer colors introduced in row major order.

Original entry on oeis.org

2, 15, 136, 12840, 322768, 87852626, 4044766240, 2227156082842, 157752739276184, 148049849095504726, 14670983946354664200, 21183598567292002167082, 2765649842153732133940784, 5737167377815628378510929822

Offset: 1

R. H. Hardin Aug 27 2012

nonn

Column 5 of A215924

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

R. H. Hardin, Table of n, a(n) for n = 1..25

A215920 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an n X n array with new integer colors introduced in row major order.

Original entry on oeis.org

1, 1, 4, 602, 322768, 33093356640, 12954733199158688, 2562708954818067388122544

Offset: 1

R. H. Hardin Aug 27 2012

nonn

Diagonal of A215924

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

A215923 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nX7 array with new integer colors introduced in row major order.

Original entry on oeis.org

5, 203, 12840, 14050312, 4044766240, 18383354944364, 12954733199158688, 152834703746357948488, 204451724239460493425216, 4971673449387903153569761420, 10980920102796579166081443367088

Offset: 1

R. H. Hardin Aug 27 2012

nonn

Column 7 of A215924

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

cp's OEIS Frontend

A215904 T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.

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A215921 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an n X 3 array with new integer colors introduced in row major order.

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A215922 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nX5 array with new integer colors introduced in row major order.

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A215920 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an n X n array with new integer colors introduced in row major order.

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A215923 Number of diagonal and antidiagonal neighbor colorings of the odd squares of an nX7 array with new integer colors introduced in row major order.

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