A186218 -id:A186218 - cp's OEIS frontend

A186211 Number of (n+1)X2 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

0, 175, 609, 3593, 15055, 76263, 353985, 1729733, 8225815, 39664199, 189800057, 911926009, 4372168391, 20986330867, 100672272185, 483086490365, 2317736112319, 11120991460315, 53358239027713, 256018285828501

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 1 of A186218

			Some solutions for 3X2
..1..0....1..0....0..2....0..2....1..1....2..0....2..1....0..0....0..2....0..0
..1..0....1..1....0..0....0..0....1..1....2..0....1..1....1..0....0..1....0..0
..0..0....1..2....0..0....1..1....1..1....1..0....1..2....2..0....0..1....0..2

R. H. Hardin, Table of n, a(n) for n = 1..200

Empirical: a(n)=6*a(n-1)+a(n-2)-48*a(n-3)+77*a(n-4)+28*a(n-5)-238*a(n-6)+230*a(n-7)-67*a(n-8)+170*a(n-9)+100*a(n-10)-432*a(n-11)+256*a(n-12)-532*a(n-13)+296*a(n-14)+144*a(n-15)-320*a(n-16)+512*a(n-17) for n>18

A186212 Number of (n+1)X3 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

Original entry on oeis.org

175, 1969, 18873, 197619, 2008031, 20738153, 213108423, 2194753479, 22587046821, 232531438315, 2393657704397, 24641409679961, 253666806143927, 2611352484956083, 26882320490736795, 276737910767834565

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 2 of A186218

			Some solutions for 5X3
..0..0..1....0..0..0....1..0..2....0..0..0....2..0..1....1..0..2....0..0..2
..0..0..2....2..0..2....0..0..0....1..0..0....0..0..0....0..0..1....1..0..1
..1..0..1....2..0..0....1..0..2....1..0..0....2..0..1....1..0..2....0..0..1
..0..0..1....2..0..2....2..0..0....2..0..2....1..0..2....0..0..0....0..0..2
..0..0..2....0..0..1....0..0..1....0..0..2....2..0..2....1..1..0....1..0..1

R. H. Hardin, Table of n, a(n) for n = 1..200

A186213 Number of (n+1)X4 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

Original entry on oeis.org

609, 18873, 308593, 6275745, 116461359, 2259545215, 43035959317, 826432933951, 15812881574729, 303053537534437, 5803938965263449, 111189559377323685, 2129829613338983271, 40799287763726714069, 781535113579919280543

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 3 of A186218

			Some solutions for 3X4
..2..2..1..0....0..1..1..0....1..1..0..0....2..0..0..2....1..0..1..0
..0..0..0..0....2..2..0..0....1..1..0..2....0..0..0..0....2..0..2..0
..1..0..1..2....1..1..0..0....0..0..0..0....2..0..2..0....1..0..2..0

R. H. Hardin, Table of n, a(n) for n = 1..200

A186214 Number of (n+1)X5 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

Original entry on oeis.org

3593, 197619, 6275745, 255375977, 9406230423, 363322785761, 13767728347159, 526156623567189, 20038980564800735, 764392776658915834, 29139515896102512134, 1111151581724887298470, 42365735451420875473052

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 4 of A186218

			Some solutions for 3X5
..0..2..1..1..1....1..0..0..0..2....1..0..1..1..2....2..0..1..0..1
..0..0..0..0..0....0..0..0..2..2....0..0..0..0..0....0..0..0..0..0
..2..2..2..2..1....1..1..2..2..0....0..0..0..1..1....1..0..1..2..2

R. H. Hardin, Table of n, a(n) for n = 1..77

A186215 Number of (n+1)X6 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

Original entry on oeis.org

15055, 2008031, 116461359, 9406230423, 660028898887, 49524283508081, 3611859394076247

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 5 of A186218

			Some solutions for 3X6
..0..0..2..0..1..0....0..0..1..0..0..0....0..0..1..1..0..1....0..0..0..1..0..0
..0..0..0..0..0..0....0..0..0..0..0..2....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..2..2....0..0..2..1..0..2....0..1..1..1..1..0....2..0..2..0..2..1

A186216 Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock determinant equal to some horizontal or vertical neighbor 2 X 2 subblock determinant.

Original entry on oeis.org

76263, 20738153, 2259545215, 363322785761, 49524283508081

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 6 of A186218.

			Some solutions for 3 X 7
..0..0..0..0..1..2..2....0..0..2..2..1..2..2....0..0..0..0..2..0..2
..0..0..0..0..1..1..2....0..0..0..0..0..0..0....0..0..0..0..0..0..1
..0..0..0..0..1..0..2....0..0..0..2..2..1..2....0..0..1..1..2..0..1

Cf. A186218.

A186217 Number of (n+1)X8 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

Original entry on oeis.org

353985, 213108423, 43035959317, 13767728347159, 3611859394076247

Offset: 1

R. H. Hardin Feb 15 2011

nonn

Column 7 of A186218

			Some solutions for 3X8
..0..0..0..2..0..0..2..2....0..0..0..2..2..1..2..0....0..0..0..2..0..2..2..1
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..2..1..0..1....0..0..0..0..2..0..0..2....0..0..0..1..1..2..0..0

cp's OEIS Frontend

A186211 Number of (n+1)X2 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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A186212 Number of (n+1)X3 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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A186213 Number of (n+1)X4 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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A186214 Number of (n+1)X5 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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A186215 Number of (n+1)X6 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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A186216 Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock determinant equal to some horizontal or vertical neighbor 2 X 2 subblock determinant.

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A186217 Number of (n+1)X8 0..2 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant.

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