A200534 -id:A200534 - cp's OEIS frontend

A200528 Number of n X 2 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

6, 20, 57, 146, 354, 825, 1873, 4169, 9144, 19825, 42590, 90815, 192457, 405760, 851740, 1781227, 3713015, 7718092, 16003641, 33111477, 68374642, 140947848, 290098848, 596244613, 1223916576, 2509450811, 5139839214, 10517282966

Offset: 1

R. H. Hardin, Nov 18 2011

nonn

Column 2 of A200534.

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

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

Cf. A200534.

Empirical: a(n) = 7*a(n-1) -16*a(n-2) +6*a(n-3) +27*a(n-4) -33*a(n-5) -3*a(n-6) +24*a(n-7) -11*a(n-8) -4*a(n-9) +4*a(n-10).

Empirical g.f.: x*(6 - 22*x + 13*x^2 + 31*x^3 - 38*x^4 - x^5 + 25*x^6 - 11*x^7 - 4*x^8 + 4*x^9) / ((1 - x)*(1 + x)*(1 - 2*x)^2*(1 - x - x^2)*(1 - 2*x + x^3 - x^4)). - Colin Barker, May 21 2018

A200529 Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

11, 57, 243, 905, 3135, 10292, 32556, 100065, 300847, 888587, 2586994, 7441963, 21193523, 59838942, 167704775, 466986683, 1293018711, 3562315723, 9770764284, 26693067952, 72663897633, 197170483178, 533459459628, 1439508706370

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Column 3 of A200534

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

R. H. Hardin, Table of n, a(n) for n = 1..122

A200530 Number of nX4 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

19, 146, 905, 4848, 23925, 111085, 494555, 2132979, 8981773, 37125420, 151253915, 609247412, 2432002859, 9638730963, 37983584772, 149003379789, 582403346152, 2269881052166, 8826625108206, 34261690527204, 132805131519232

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Column 4 of A200534

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

R. H. Hardin, Table of n, a(n) for n = 1..57

A200531 Number of nX5 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

32, 354, 3135, 23925, 167171, 1092645, 6820330, 41135050, 241717185, 1391776867, 7886862976, 44130194797, 244429190692, 1342743707709, 7326819179875, 39759798789392, 214782513374737, 1155893422272121, 6201199013944784

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Column 5 of A200534

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

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

A200532 Number of nX6 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

53, 825, 10292, 111085, 1092645, 10000162, 87098434, 731106792, 5964324991, 47562454949, 372415747947, 2872854627301, 21889626638130, 165068050869351, 1233859196014348, 9153541048411929, 67464412472963033, 494406133695289336

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Column 6 of A200534

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

R. H. Hardin, Table of n, a(n) for n = 1..26

A200533 Number of nX7 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

87, 1873, 32556, 494555, 6820330, 87098434, 1056792824, 12348422785, 140068079857, 1551453118671, 16861973522704, 180469353488204, 1907201493832312, 19944555935687461, 206749466424763994

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Column 7 of A200534

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

R. H. Hardin, Table of n, a(n) for n = 1..19

A200527 Number of n X n 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

Original entry on oeis.org

3, 20, 243, 4848, 167171, 10000162, 1056792824, 201092476918, 70051408245054, 45119084364602004

Offset: 1

R. H. Hardin Nov 18 2011

nonn

Diagonal of A200534

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

cp's OEIS Frontend

A200528 Number of n X 2 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200529 Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200530 Number of nX4 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200531 Number of nX5 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200532 Number of nX6 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200533 Number of nX7 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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A200527 Number of n X n 0..2 arrays with every row and column running average nondecreasing rightwards and downwards.

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