A267933 -id:A267933 - cp's OEIS frontend

A267928 Number of n X 1 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

4, 16, 60, 222, 804, 2872, 10132, 35383, 122480, 420752, 1435736, 4870132, 16432216, 55178416, 184481816, 614348813, 2038435340, 6740997616, 22223182372, 73053304378, 239502956924, 783241953896, 2555428926860, 8319101465587

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 1 of A267933.

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

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

Cf. A267933.

Empirical: a(n) = 12*a(n-1) - 48*a(n-2) + 44*a(n-3) + 150*a(n-4) - 252*a(n-5) - 216*a(n-6) + 324*a(n-7) + 243*a(n-8).

Empirical g.f.: x*(4 - 32*x + 60*x^2 + 94*x^3 - 284*x^4 - 152*x^5 + 388*x^6 + 259*x^7) / ((1 + x)^3*(1 - 3*x)^5). - Colin Barker, Feb 25 2018

A267929 Number of nX2 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

16, 256, 3600, 49284, 646416, 8248384, 102657424, 1251956689, 15001350400, 177032245504, 2061337861696, 23718185697424, 270017722670656, 3044657592269056, 34033540434657856, 377424464034508969

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 2 of A267933.

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

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

Cf. A267933.

Empirical: a(n) = 65*a(n-1) -1714*a(n-2) +21994*a(n-3) -104609*a(n-4) -629015*a(n-5) +9424776*a(n-6) -16529832*a(n-7) -255376098*a(n-8) +1037637378*a(n-9) +3611188980*a(n-10) -20939962212*a(n-11) -32646831786*a(n-12) +213582240666*a(n-13) +202683094344*a(n-14) -1065454174440*a(n-15) -388324470141*a(n-16) +2871948084957*a(n-17) -843801825042*a(n-18) -3200868080118*a(n-19) +3106724901291*a(n-20) -847288609443*a(n-21)

A267930 Number of nX3 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

60, 3600, 178068, 8459154, 376812420, 16109362560, 663451196118, 26507885328672, 1031599522028772, 39244717326244854, 1463429227285701348, 53613261264275522982, 1933276790525967340428, 68725772580648925008792

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 3 of A267933.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 81

Cf. A267933.

Empirical recurrence of order 81 (see link above)

A267931 Number of nX4 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

222, 49284, 8459154, 1376175262, 205495778969, 29057389299071, 3909876972823819, 505367954515309174, 63080019343371599302, 7640051013859497535548, 901148367450672524043965

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 4 of A267933.

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

R. H. Hardin, Table of n, a(n) for n = 1..45

Cf. A267933.

A267932 Number of n X 5 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

Original entry on oeis.org

804, 646416, 376812420, 205495778969, 100687082932722, 46100277695598540, 19842370956769791406, 8124028780235672182317, 3184909570287436388080416

Offset: 1

R. H. Hardin, Jan 22 2016

nonn

Column 5 of A267933.

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

Cf. A267933.

cp's OEIS Frontend

A267928 Number of n X 1 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267929 Number of nX2 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267930 Number of nX3 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267931 Number of nX4 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

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A267932 Number of n X 5 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.

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