A231746 -id:A231746 - cp's OEIS frontend

A231741 Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

4, 84, 318, 1328, 6064, 26918, 116909, 511264, 2248196, 9868600, 43259517, 189716276, 832295019, 3650903623, 16013507645, 70240174360, 308101760364, 1351448959786, 5927927566218, 26002016887928, 114054342072628

Offset: 1

R. H. Hardin, Nov 13 2013

nonn

Column 2 of A231746

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

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

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +104*a(n-3) -251*a(n-4) +391*a(n-5) -483*a(n-6) +687*a(n-7) -378*a(n-8) +503*a(n-9) -247*a(n-10) -66*a(n-11) -292*a(n-12) -300*a(n-13) -217*a(n-14) -153*a(n-15) -70*a(n-16) -27*a(n-17) -8*a(n-18) -a(n-19) for n>20

A231742 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

Original entry on oeis.org

16, 318, 4430, 60806, 784076, 9945132, 126926437, 1625269595, 20795246129, 265933115701, 3401419933047, 43511214955897, 556577494538011, 7119285135911590, 91064607669052460, 1164839484230300582

Offset: 1

R. H. Hardin, Nov 13 2013

nonn

Column 3 of A231746

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 87

Empirical recurrence of order 87 (see link above)

A231743 Number of nX4 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

Original entry on oeis.org

50, 1328, 60806, 2154900, 71742015, 2426463539, 82701946547, 2814528154294, 95747933760688, 3259127333943936, 110951853201769471, 3776779941421524009, 128555070606110236059, 4375838168986252858545, 148948822494411349242405

Offset: 1

R. H. Hardin, Nov 13 2013

nonn

Column 4 of A231746

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

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

A231744 Number of n X 5 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

Original entry on oeis.org

144, 6064, 784076, 71742015, 6425495277, 598711367728, 56006640316980, 5220406326242670, 486885544941495652, 45439583623043602188, 4239994977410757148897, 395581225544558104634606, 36907440894481310915676768, 3443519378497211484011972191, 321285969990496676187195798327

Offset: 1

R. H. Hardin, Nov 13 2013

nonn

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

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

Column 5 of A231746.

A231745 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

Original entry on oeis.org

422, 26918, 9945132, 2426463539, 598711367728, 155985773478611, 40539474933206048, 10471241201508754882, 2708333085420702066371, 701131301655294979491764, 181453765111432778651835050

Offset: 1

R. H. Hardin, Nov 13 2013

nonn

Column 6 of A231746

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

R. H. Hardin, Table of n, a(n) for n = 1..61

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A231741 Number of nX2 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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A231742 Number of nX3 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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A231743 Number of nX4 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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A231744 Number of n X 5 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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A231745 Number of nX6 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors.

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