A268073 -id:A268073 - cp's OEIS frontend

A268069 Number of n X 1 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 4, 12, 39, 138, 499, 1830, 6723, 24714, 90751, 332910, 1219947, 4466562, 16340935, 59746326, 218334531, 797537226, 2912254303, 10631252766, 38800597851, 141582417426, 516549545527, 1884336977574, 6873201390579

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 1 of A268073.

			Some solutions for n=7:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....1....1....1....0....1....1....1....1....1....1....1....0....1
..2....1....1....2....2....1....1....2....1....0....0....2....2....1....1....2
..3....0....1....1....0....0....1....3....2....2....1....0....3....2....2....1
..3....0....0....3....1....0....0....3....1....1....0....0....3....1....3....2
..1....2....2....3....2....2....0....0....3....1....2....1....0....3....3....0
..3....3....3....1....2....0....2....2....1....3....1....3....3....0....1....0

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

Cf. A268073.

Empirical: a(n) = 6*a(n-1) - 3*a(n-2) - 30*a(n-3) + 28*a(n-4) + 36*a(n-5) - 36*a(n-6) for n>8.

Empirical g.f.: x*(1 - 4*x - 5*x^2 + 24*x^3 + 11*x^4 - 32*x^5 + 12*x^7) / ((1 - x)*(1 - 3*x)*(1 - 2*x^2)*(1 - 2*x - 6*x^2)). - Colin Barker, Feb 26 2018

A268070 Number of nX2 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

2, 15, 159, 2191, 30295, 421471, 5797959, 79367143, 1079774311, 14630901175, 197520668295, 2659138662775, 35714778101863, 478783751931415, 6408527754114375, 85670414104756855, 1144076540594898727

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 2 of A268073.

			Some solutions for n=5
..0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..1....0..1....0..1
..0..2....0..0....2..3....1..0....1..0....1..2....0..0....1..2....1..1....2..3
..2..1....1..2....2..3....2..0....1..1....0..3....2..2....1..3....2..3....2..2
..2..0....0..3....1..2....2..1....0..0....0..1....3..3....3..3....2..3....0..2
..1..0....1..1....0..2....0..2....2..3....1..2....1..2....0..0....3..1....3..3

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

Cf. A268073.

Empirical: a(n) = 26*a(n-1) -109*a(n-2) -1668*a(n-3) +10384*a(n-4) +30340*a(n-5) -193268*a(n-6) -33480*a(n-7) +882432*a(n-8) -461376*a(n-9) -1073088*a(n-10) +839808*a(n-11) for n>13

A268071 Number of nX4 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

12, 2191, 381958, 70985206, 12341773443, 2135811945390, 360625109847257, 60269655478497862, 9949083335191755757, 1629156960066795552208, 264820932563055654137153, 42807217788424085785910968

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 4 of A268073.

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

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

Cf. A268073.

A268072 Number of nX5 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Original entry on oeis.org

39, 30295, 18691624, 12341773443, 7496016439865, 4526538615127374, 2650602668970910839, 1532388103026197724943, 872365742087350348504945

Offset: 1

R. H. Hardin, Jan 25 2016

nonn

Column 5 of A268073.

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

Cf. A268073.

cp's OEIS Frontend

A268069 Number of n X 1 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A268070 Number of nX2 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A268071 Number of nX4 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A268072 Number of nX5 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

Views

Author

Keywords

Comments

Examples

Crossrefs