A198914 -id:A198914 - cp's OEIS frontend

A198910 Number of nX4 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

5, 500, 269940, 319608038, 481871809749, 769126451071174, 1243368053336112649, 2015791720035206825303, 3270193421121063659774745, 5305976942994216714747844079, 8609380449975858170849466245738

Offset: 1

R. H. Hardin Oct 31 2011

nonn

Column 4 of A198914

			Some solutions with values 0 to 7 for n=3
..0..1..2..3....0..1..0..2....0..1..2..3....0..1..2..1....0..1..0..2
..3..4..5..2....3..4..5..3....4..5..0..6....3..4..5..6....2..0..3..4
..6..7..1..6....6..1..7..2....2..7..6..5....4..7..0..7....3..5..6..7

R. H. Hardin, Table of n, a(n) for n = 1..123

Empirical: a(n) = 2296*a(n-1) -1239092*a(n-2) +252277904*a(n-3) -24632440060*a(n-4) +1347961370754*a(n-5) -44994493075469*a(n-6) +960046624478492*a(n-7) -13429762946315149*a(n-8) +124540876930445980*a(n-9) -765040702294085198*a(n-10) +3074302608489782520*a(n-11) -7884335188124038674*a(n-12) +12438514719451024794*a(n-13) -11471383995777540513*a(n-14) +5595786642970619820*a(n-15) -1099871574411268404*a(n-16)

A198911 Number of nX5 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

15, 10867, 54381563, 481871809749, 4717456775959530, 46891073386615240710, 467181941240736711604077, 4656280284540702751242128730, 46410545076265038917843608182171, 462591920649454036671348839366018986

Offset: 1

R. H. Hardin Oct 31 2011

nonn

Column 5 of A198914

			Some solutions with values 0 to 7 for n=3
..0..1..2..3..2....0..1..2..3..4....0..1..0..2..3....0..1..2..3..4
..1..0..3..2..3....1..0..5..1..6....1..0..3..4..5....1..0..5..2..3
..2..4..5..6..7....0..7..4..3..1....6..4..2..7..0....0..6..3..5..7

R. H. Hardin, Table of n, a(n) for n = 1..24

A198912 Number of n X 6 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

52, 313132, 13088156547, 769126451071174, 46891073386615240710, 2869765342757082981876352, 175702802690666247458883923440, 10757955551509190096324218697545253, 658692627650592744502193427291859810016, 40330729100674101491606403206098933746439983

Offset: 1

R. H. Hardin, Oct 31 2011

nonn

			Some solutions with values 0 to 7 for n=3
..0..1..0..2..3..4....0..1..0..2..3..4....0..1..2..1..3..2....0..1..2..1..3..1
..1..0..1..5..0..6....1..0..2..5..4..0....1..0..1..4..5..6....1..0..1..0..1..0
..0..1..4..7..6..7....0..1..5..0..6..7....0..1..0..7..3..0....0..1..4..5..6..7

Andrew Howroyd, Table of n, a(n) for n = 1..200

Column 6 of A198914.

Terms a(7) and beyond from Andrew Howroyd, Mar 12 2023

A198913 Number of n X 7 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

Original entry on oeis.org

203, 10856948, 3352514013159, 1243368053336112649, 467181941240736711604077, 175702802690666247458883923440, 66084692925071529966599521403836686, 24855655340700384655492554800723374323095, 9348667576846602621032033514210811069676125541

Offset: 1

R. H. Hardin, Oct 31 2011

nonn

			Some solutions with values 0 to 7 for n=3
..0..1..0..2..0..1..3....0..1..0..2..3..4..2....0..1..0..2..0..1..3
..1..0..2..0..4..2..5....1..0..2..0..4..5..0....1..0..2..0..4..3..5
..0..1..0..6..7..3..0....0..1..0..4..5..6..7....0..1..0..6..7..0..1

Andrew Howroyd, Table of n, a(n) for n = 1..150

Column 7 of A198914.

Terms a(8) and beyond from Andrew Howroyd, Mar 12 2023

cp's OEIS Frontend

A198910 Number of nX4 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198911 Number of nX5 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198912 Number of n X 6 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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A198913 Number of n X 7 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor.

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