A202651 -id:A202651 - cp's OEIS frontend

A202652 Number of 3X3 0..n arrays with no row or column sum equal to the previous.

126, 8460, 143028, 1217196, 6835050, 29025832, 100804408, 300779112, 797002582, 1919734900, 4275569868, 8918598788, 17597763122, 33103533936, 59741213696, 103962922160, 175195148094, 286904314092, 457948263108, 714267962604

Offset: 1

R. H. Hardin Dec 22 2011

nonn

Row 3 of A202651

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

R. H. Hardin, Table of n, a(n) for n = 1..33

Empirical: a(n) = 5*a(n-1) -6*a(n-2) -9*a(n-3) +24*a(n-4) -3*a(n-5) -26*a(n-6) +7*a(n-7) +18*a(n-8) +7*a(n-9) -26*a(n-10) -3*a(n-11) +24*a(n-12) -9*a(n-13) -6*a(n-14) +5*a(n-15) -a(n-16)

A202648 Number of n X n 0..1 arrays with no row or column sum equal to the previous.

Original entry on oeis.org

2, 8, 126, 10016, 3648810, 5616280768, 35610018145138

Offset: 1

R. H. Hardin Dec 22 2011

nonn

Column 1 of A202651

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

A202649 Number of n X n 0..2 arrays with no row or column sum equal to the previous.

Original entry on oeis.org

3, 52, 8460, 14394092, 231197740500

Offset: 1

R. H. Hardin Dec 22 2011

nonn

Column 2 of A202651

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

A202653 Number of 4 X 4 0..n arrays with no row or column sum equal to the previous one.

Original entry on oeis.org

10016, 14394092, 1960824272, 82673548892, 1704690798544, 21663154469016, 194018658663536

Offset: 1

R. H. Hardin, Dec 22 2011

			Some solutions for n=1:
  1 1 1 1     1 1 1 1     1 0 0 0     0 1 0 0     0 0 1 0
  1 0 1 1     1 0 0 0     0 0 0 0     0 0 0 0     1 0 0 1
  1 0 0 1     1 0 1 0     1 1 1 1     1 1 0 0     0 0 0 0
  0 0 0 1     1 1 1 1     1 1 0 1     0 0 1 0     1 0 0 1

Row 4 of A202651.

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A202652 Number of 3X3 0..n arrays with no row or column sum equal to the previous.

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A202648 Number of n X n 0..1 arrays with no row or column sum equal to the previous.

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A202649 Number of n X n 0..2 arrays with no row or column sum equal to the previous.

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A202653 Number of 4 X 4 0..n arrays with no row or column sum equal to the previous one.

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