A231700 -id:A231700 - cp's OEIS frontend

A231694 Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

4, 28, 272, 1998, 13260, 94996, 691229, 4926082, 35082734, 251198534, 1797886622, 12852933731, 91912956748, 657463618650, 4702487810918, 33632995941197, 240557644773042, 1720590474243847, 12306454228470804, 88021459865552231

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 2 of A231700

			Some solutions for n=6
..3..0....2..2....3..3....0..0....1..1....1..0....2..0....2..2....0..3....1..1
..0..0....0..0....0..0....0..3....1..3....0..0....0..0....3..2....0..2....1..3
..2..3....0..3....0..2....0..0....1..2....3..0....1..2....3..2....0..2....2..3
..0..0....3..0....2..3....0..2....1..0....3..0....0..0....0..0....0..0....0..0
..0..0....0..0....3..0....1..2....0..0....1..0....0..0....0..0....0..0....0..1
..2..0....2..1....0..0....1..1....2..1....1..0....0..0....3..2....2..3....3..2

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

Empirical: a(n) = 16*a(n-1) -100*a(n-2) +414*a(n-3) -1560*a(n-4) +4300*a(n-5) -7915*a(n-6) +14336*a(n-7) -26218*a(n-8) +36856*a(n-9) -47376*a(n-10) +63903*a(n-11) -72545*a(n-12) +70297*a(n-13) -69546*a(n-14) +62746*a(n-15) -45905*a(n-16) +31530*a(n-17) -23245*a(n-18) +11184*a(n-19) -5796*a(n-20) +2196*a(n-21) -1296*a(n-22)

A231695 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

16, 272, 5972, 115583, 2049855, 37872601, 711067486, 13223846355, 245394073602, 4563802124823, 84893857186798, 1578413939501222, 29347570955255809, 545714251340861077, 10147343140331608494, 188682437852956208517

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 3 of A231700

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

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

A231696 Number of nX4 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

50, 1998, 115583, 6074096, 286808607, 14007173906, 696904625544, 34390368202345, 1693611631652448, 83546478885400765, 4121506683565058802, 203261277285880002250, 10024941696145652614843, 494455010365407138814774

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 4 of A231700

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

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

A231697 Number of nX5 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

144, 13260, 2049855, 286808607, 34764511754, 4333974317355, 556835183317668, 71067313709831125, 9020067185976407959, 1146622410485781036080, 145894809076844042966799, 18557178929287225291004307

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 5 of A231700

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

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

A231698 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

422, 94996, 37872601, 14007173906, 4333974317355, 1383168339985798, 458723384178436491, 151028533752547571008, 49335557302876746551356, 16145864650820204721710388, 5292025656827127971428710436

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 6 of A231700

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

R. H. Hardin, Table of n, a(n) for n = 1..70

A231699 Number of nX7 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Original entry on oeis.org

1268, 691229, 711067486, 696904625544, 556835183317668, 458723384178436491, 394600405782342943410, 337091385019548510376164, 285400541198740304070351399, 242059566770098900152264298823

Offset: 1

R. H. Hardin, Nov 12 2013

nonn

Column 7 of A231700

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

R. H. Hardin, Table of n, a(n) for n = 1..13

cp's OEIS Frontend

A231694 Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

Formula

A231695 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231696 Number of nX4 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231697 Number of nX5 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231698 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links

A231699 Number of nX7 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

Views

Author

Keywords

Comments

Examples

Links