A267966 -id:A267966 - cp's OEIS frontend

A267961 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

9, 81, 576, 3969, 25281, 155236, 915849, 5253264, 29365561, 160731684, 863478225, 4564353600, 23782266225, 122339052900, 622112365081, 3130733894544, 15606442349001, 77125175024836, 378120197667969, 1840241149473024

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 2 of A267966.

			Some solutions for n=6
..0..1....0..0....1..2....2..0....0..1....1..2....0..1....1..2....2..2....0..0
..1..0....1..2....0..1....0..1....1..0....0..1....2..0....0..0....0..0....1..0
..0..1....0..1....0..1....1..1....2..2....1..2....2..1....1..0....0..0....0..2
..2..1....2..1....1..2....0..0....1..1....0..0....0..2....2..2....1..1....2..1
..0..2....0..0....0..2....2..1....0..0....2..2....2..0....1..2....0..2....0..2
..0..0....1..1....2..1....1..0....2..2....0..0....0..2....0..1....2..0....1..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A267966.

Empirical: a(n) = 21*a(n-1) -153*a(n-2) +263*a(n-3) +2094*a(n-4) -9792*a(n-5) -2752*a(n-6) +86256*a(n-7) -85536*a(n-8) -338048*a(n-9) +554496*a(n-10) +571392*a(n-11) -1335296*a(n-12) -98304*a(n-13) +1179648*a(n-14) -524288*a(n-15).

A267960 Number of n X 1 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

3, 9, 24, 63, 159, 394, 957, 2292, 5419, 12678, 29385, 67560, 154215, 349770, 788741, 1769388, 3950499, 8782094, 19445313, 42898032, 94315743, 206709714, 451711869, 984397108, 2139750939, 4639901334, 10038505657, 21672089592, 46693408599

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 1 of A267966.

			Some solutions for n=8:
..1....0....1....1....0....2....0....0....2....1....1....1....2....0....2....0
..2....1....0....1....2....1....2....2....2....2....2....0....0....2....1....1
..0....0....2....2....0....1....0....1....1....0....2....1....1....1....0....1
..2....0....1....2....1....2....2....0....0....2....0....1....0....2....1....0
..0....1....1....0....2....1....0....0....2....0....2....0....2....0....1....2
..1....2....0....1....1....2....0....1....0....1....1....2....0....2....0....0
..2....0....2....0....0....1....2....2....2....0....0....2....1....0....2....1
..2....2....2....2....0....0....2....0....1....1....2....0....2....2....0....2

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A267966.

Empirical: a(n) = 6*a(n-1) - 9*a(n-2) - 8*a(n-3) + 24*a(n-4) - 16*a(n-6).
Conjectures from Colin Barker, Feb 25 2018: (Start)
G.f.: x*(3 - 9*x - 3*x^2 + 24*x^3 - 3*x^4 - 17*x^5) / ((1 + x)^2*(1 - 2*x)^4).
a(n) = (96*n + 2^n*(9*n*(n*(n+44)+445)+7622) + 640) / 7776 for n even.
a(n) = (2^n*(9*n*(n*(n+44)+445)+7622) - 32*(3*n+20)) / 7776 for n odd.
(End)

A267962 Number of nX3 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

24, 576, 9750, 157182, 2253828, 30649446, 392792334, 4834114074, 57285557832, 658558589712, 7367813384346, 80528684687118, 861990117512832, 9057816965527086, 93605798560795056, 952894000040209068

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 3 of A267966.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 60

Cf. A267966.

Empirical recurrence of order 60 (see link above)

A267963 Number of nX4 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

63, 3969, 157182, 5843562, 185900905, 5520230601, 151596664089, 3948855568663, 97889332200024, 2332332672746881, 53631396879772976, 1196249503631460096, 25965520951599991001, 550166212967293315266, 11406213718800127365141

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 4 of A267966.

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

R. H. Hardin, Table of n, a(n) for n = 1..186

Cf. A267966.

A267964 Number of nX5 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

159, 25281, 2253828, 185900905, 12628574785, 788980366553, 44750006935212, 2380009487628460, 119102221790408950, 5679107254350714417, 259271407469847625873, 11405005155091115435008, 485271704403173804854458

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 5 of A267966.

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

R. H. Hardin, Table of n, a(n) for n = 1..38

Cf. A267966.

A267965 Number of nX6 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

394, 155236, 30649446, 5520230601, 788980366553, 102223499117744, 11810588915957470, 1265251769611245447, 126142642452394981113, 11881829182693062116809

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 6 of A267966.

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

Cf. A267966.

cp's OEIS Frontend

A267961 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267960 Number of n X 1 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267962 Number of nX3 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267963 Number of nX4 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267964 Number of nX5 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267965 Number of nX6 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.

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