A267019 -id:A267019 - cp's OEIS frontend

A267020 Number of (n+1)Xn arrays containing n copies of 0..n with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

1, 5, 21, 259, 5493, 255437, 26320280, 6071784885

Offset: 1

R. H. Hardin, Jan 09 2016

Subdiagonal 1 of A267019.

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

Cf. A267020.

A267018 Number of n X n arrays containing n copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

Original entry on oeis.org

1, 3, 15, 137, 2063, 69265, 4893787, 787556232

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Diagonal of A267019.

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

Cf. A267020.

A267023 Number of 4Xn arrays containing n copies of 0..4-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 4 and the upper left element equal to 0.

Original entry on oeis.org

6, 8, 21, 137, 759, 4835, 31591, 216460, 1516047, 10864196, 79437844, 590119523, 4453596825, 34028591249, 263304258843, 2058154419091, 16252842542358, 129434331448080, 1039407597863960, 8405943746368118, 68447035142972923

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Row 4 of A267019.

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

R. H. Hardin, Table of n, a(n) for n = 1..23

Cf. A267019.

A267021 Number of nX(n+1) arrays of permutations of n+1 copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

Original entry on oeis.org

1, 10, 59, 759, 18157, 912057, 100710495

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Superdiagonal 1 of A267019.

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

Cf. A267019.

A267022 Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

Original entry on oeis.org

1, 35, 257, 4835, 172169, 13122646, 2166450939

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Superdiagonal 2 of A267019.

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

Cf. A267019.

A267024 Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 5 and the upper left element equal to 0.

Original entry on oeis.org

24, 11, 45, 259, 2063, 18157, 172169, 1717333, 17555313, 184061791, 1966919505, 21379461151, 235731898917, 2632460173093

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Row 5 of A267019.

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

Cf. A267019.

A267025 Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 6 and the upper left element equal to 0.

Original entry on oeis.org

120, 15, 37, 537, 5493, 69265, 912057, 13122646, 193577805, 2965487933, 46310466234

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Row 6 of A267019.

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

Cf. A267019.

A267026 Number of 7Xn arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 7 and the upper left element equal to 0.

Original entry on oeis.org

720, 19, 147, 1015, 15171, 255437, 4893787, 100710495, 2166450939

Offset: 1

R. H. Hardin, Jan 09 2016

nonn

Row 7 of A267019.

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

Cf. A267019.

cp's OEIS Frontend

A267020 Number of (n+1)Xn arrays containing n copies of 0..n with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

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A267018 Number of n X n arrays containing n copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

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A267023 Number of 4Xn arrays containing n copies of 0..4-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 4 and the upper left element equal to 0.

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A267021 Number of nX(n+1) arrays of permutations of n+1 copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

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A267022 Number of nX(n+2) arrays of permutations of n+2 copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0.

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A267024 Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 5 and the upper left element equal to 0.

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A267025 Number of 6Xn arrays containing n copies of 0..6-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 6 and the upper left element equal to 0.

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A267026 Number of 7Xn arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo 7 and the upper left element equal to 0.

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