A200777 -id:A200777 - cp's OEIS frontend

A200770 Number of nX1 0..2 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.

3, 3, 2, 7, 9, 6, 22, 30, 20, 75, 105, 70, 266, 378, 252, 966, 1386, 924, 3564, 5148, 3432, 13299, 19305, 12870, 50050, 72930, 48620, 189618, 277134, 184756, 722228, 1058148, 705432, 2762942, 4056234, 2704156, 10608612, 15600900, 10400600, 40859500

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 1 of A200777

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

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

Includes A003409((n+1)/3) and A000984(n/3)

Conjecture: (n+2)*(2270*n-4893)*a(n) +3*(1090*n^2-4919*n+1654)*a(n-1) +4686*a(n-2) +2*(-5540*n^2+7016*n+17127)*a(n-3) -6*(1090*n-2739)*(2*n-7)*a(n-4)=0. - R. J. Mathar, Nov 23 2011

A200771 Number of nX2 0..2 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, 5, 5, 20, 37, 31, 144, 273, 218, 1054, 2009, 1574, 7738, 14793, 11474, 57029, 109296, 84246, 421938, 810268, 621914, 3132630, 6025862, 4611044, 23331465, 44944997, 34314054, 174267851, 336126752, 256168546, 1304988740, 2519821169, 1917689311

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 2 of A200777

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

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

A200772 Number of nX3 0..2 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

2, 5, 13, 31, 77, 217, 553, 1438, 3849, 9634, 24872, 65658, 165619, 425229, 1108871, 2787741, 7090082, 18273124, 45935694, 116433625, 297919225, 747625324, 1886048964, 4791865798, 11998842755, 30184656867, 76352766306, 190890209361

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 3 of A200777

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

R. H. Hardin, Table of n, a(n) for n = 1..99

A200773 Number of nX4 0..2 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, 20, 31, 342, 1368, 1806, 18801, 66784, 80772, 855668, 3041384, 3594128, 37388832, 130414591, 152057520, 1585602417, 5503438740, 6353866245, 65731117389, 226849040721, 260912168378, 2698875915314, 9278417689608, 10609858568929

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 4 of A200777

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

R. H. Hardin, Table of n, a(n) for n = 1..43

A200774 Number of nX5 0..2 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

9, 37, 77, 1368, 7725, 13422, 194535, 980702, 1678693, 24878620, 121356170, 196370947, 2842268794, 13774086909, 22130326801, 315828107827, 1502885737864, 2383360502586, 33977970254723, 160775285120155, 252353156923816

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 5 of A200777

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

R. H. Hardin, Table of n, a(n) for n = 1..27

A200769 Number of n X n 0..2 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, 5, 13, 342, 7725, 91755, 17965438, 2189118202, 159001066390

Offset: 1

R. H. Hardin, Nov 22 2011

nonn

Diagonal of A200777.

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

Cf. A200777.

A200775 Number of nX6 0..2 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

6, 31, 217, 1806, 13422, 91755, 633413, 4472626, 30905995, 209517906, 1388328518, 9240921228, 61120602235, 401793563633, 2619241322237, 17009669381881, 110033650331158, 709134941588286

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 6 of A200777

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

A200776 Number of nX7 0..2 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

22, 144, 553, 18801, 194535, 633413, 17965438, 171117355, 537341613, 14614583388, 131765851682, 394325986469, 10509921268682, 92675532048204

Offset: 1

R. H. Hardin Nov 22 2011

nonn

Column 7 of A200777

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

cp's OEIS Frontend

A200770 Number of nX1 0..2 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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A200771 Number of nX2 0..2 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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A200772 Number of nX3 0..2 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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A200773 Number of nX4 0..2 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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A200774 Number of nX5 0..2 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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A200769 Number of n X n 0..2 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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A200775 Number of nX6 0..2 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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A200776 Number of nX7 0..2 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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