A201235 -id:A201235 - cp's OEIS frontend

A201229 Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

6, 2, 34, 24, 306, 152, 2697, 1709, 26353, 14274, 256132, 155679, 2577102, 1435626, 25812024, 15341134, 262850473, 148007489, 2677750617, 1572346141, 27580713570, 15652657223, 284558852486, 165998453918, 2956634276151, 1686097239526

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Column 2 of A201235

			Some solutions for n=10
..0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
..0..0....0..1....0..0....0..0....0..1....0..0....0..0....0..0....0..1....0..1
..0..2....0..1....0..1....0..2....0..2....0..1....0..2....0..3....0..2....0..1
..2..2....0..1....1..3....1..1....0..1....1..1....1..1....1..1....0..1....0..3
..3..3....0..3....1..1....1..1....2..3....2..2....1..2....1..3....1..3....2..2
..1..3....2..2....1..3....1..3....3..3....1..3....2..3....1..3....3..3....1..2
..1..2....3..3....2..3....2..3....2..2....2..2....1..2....2..2....2..3....3..3
..1..3....2..3....2..2....3..3....1..2....1..2....1..2....1..3....1..2....2..3
..1..2....1..3....3..3....2..3....1..3....3..3....3..3....2..3....2..3....1..3
..1..3....2..2....2..2....2..2....1..3....3..3....3..3....2..2....1..2....1..2

R. H. Hardin, Table of n, a(n) for n = 1..82

A201230 Number of nX3 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

7, 34, 114, 140, 2462, 18056, 62133, 82861, 1593643, 11978376, 41385355, 54794307, 1094405924, 8362468865, 28876780544, 37796133889, 761894988558, 5848452096002, 20148759500753, 26152640971116, 532945521296121

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Column 3 of A201235

			Some solutions for n=8
..0..0..0....0..1..1....0..0..1....0..0..0....0..1..1....0..0..1....0..0..0
..0..1..1....0..2..1....0..0..1....0..0..1....0..1..1....0..2..1....0..0..1
..0..1..1....0..2..1....0..1..2....0..1..2....0..1..2....0..1..3....0..1..2
..0..1..2....0..2..1....0..3..3....1..1..3....0..3..3....0..1..2....1..3..2
..1..3..3....0..3..2....1..1..2....2..3..3....0..3..2....0..3..2....1..2..3
..2..2..2....0..3..2....2..2..3....1..2..2....0..2..3....1..3..2....1..2..3
..2..3..3....3..3..3....1..2..2....1..2..2....1..3..2....2..3..3....1..3..3
..2..3..3....1..3..2....3..3..3....3..3..3....2..2..3....1..3..2....2..2..3

R. H. Hardin, Table of n, a(n) for n = 1..36

A201231 Number of nX4 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

3, 24, 140, 1028, 7791, 66027, 508368, 4293464, 33177954, 282310785, 2226471492, 18845872240, 149352193586, 1252800269866, 9919439949887, 82782378005253, 656171911832714, 5446960364973500, 43213785216715427, 357463895275500826

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Column 4 of A201235

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

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

A201228 Number of n X n 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

4, 2, 114, 1028, 420662, 33222962, 112920979339

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Diagonal of A201235

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

A201232 Number of nX5 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

17, 306, 2462, 7791, 420662, 8499558, 77620598, 263388703, 14079281158, 283246971698, 2567018240138, 8718190984644, 468649999707545

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Column 5 of A201235

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

A201233 Number of nX6 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

40, 152, 18056, 66027, 8499558, 33222962, 4442977704, 17052604235, 2254057282528, 8454420786242

Offset: 1

R. H. Hardin Nov 28 2011

nonn

Column 6 of A201235

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

A201234 Number of n X 7 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

Original entry on oeis.org

46, 2697, 62133, 508368, 77620598, 4442977704, 112920979339, 1076710643794

Offset: 1

R. H. Hardin, Nov 28 2011

nonn

Column 7 of A201235.

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

Cf. A201235.

cp's OEIS Frontend

A201229 Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201230 Number of nX3 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201231 Number of nX4 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201228 Number of n X n 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201232 Number of nX5 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201233 Number of nX6 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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A201234 Number of n X 7 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

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