A265973 -id:A265973 - cp's OEIS frontend

A265967 Number of nX2 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

25, 288, 1504, 7656, 38096, 190308, 953072, 4776628, 23912032, 119676172, 599079504, 2999395220, 15015056688, 75162919892, 376276088880, 1883701849404, 9429821433376, 47206168911396, 236319556068624, 1183033090841396

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 2 of A265973.

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

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

Cf. A265973.

Empirical: a(n) = 8*a(n-2) +76*a(n-3) +219*a(n-4) -150*a(n-5) -2179*a(n-6) -6990*a(n-7) -7878*a(n-8) +14114*a(n-9) +97811*a(n-10) +209622*a(n-11) +139056*a(n-12) -409764*a(n-13) -1836900*a(n-14) -2835340*a(n-15) -1654712*a(n-16) +6180672*a(n-17) +17827872*a(n-18) +20705808*a(n-19) +4962208*a(n-20) -56431488*a(n-21) -79309568*a(n-22) -99599360*a(n-23) +85772288*a(n-24) +144689152*a(n-25) +353329152*a(n-26) -42172416*a(n-27) -139067392*a(n-28) -541589504*a(n-29) +2097152*a(n-30) +25165824*a(n-31) +301989888*a(n-32) for n>33

A265968 Number of nX3 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

92, 1504, 6112, 23920, 89776, 339952, 1282192, 4848664, 18309816, 69096768, 260725200, 984425248, 3713747128, 14013775968, 52889517856, 199579642728, 753070588072, 2841950773104, 10724343546776, 40468052281360

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 3 of A265973.

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

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

Cf. A265973.

A265969 Number of nX4 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

340, 7656, 23920, 74248, 230784, 721864, 2263704, 7152956, 22522200, 71566116, 226074624, 720236752, 2280992736, 7276115664, 23077516368, 73669330232, 233938714232, 747052012824, 2374072906440, 7582196847884, 24110436293280

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 4 of A265973.

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

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

Cf. A265973.

A265970 Number of nX5 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

1252, 38096, 89776, 230784, 631264, 1820904, 5120120, 14529352, 40869008, 116148576, 330124104, 935364856, 2641623616, 7497789512, 21321031376, 60505118208, 171246024504, 485965902816, 1381610459280, 3923852199568

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 5 of A265973.

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

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

Cf. A265973.

A265971 Number of nX6 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

4616, 190308, 339952, 721864, 1820904, 5006296, 13435392, 35632192, 95276272, 261736272, 709324400, 1927403116, 5292526288, 14866077768, 40973803912, 112866192572, 314639453512, 897120499588, 2505530846832, 6976518689796

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 6 of A265973.

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

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

Cf. A265973.

A265972 Number of nX7 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

17012, 953072, 1282192, 2263704, 5120120, 13435392, 34825856, 92019824, 231761056, 593080872, 1481688160, 3832636952, 9840184608, 25358167888, 64217497384, 165719314208, 425547780616, 1093883487608, 2780744054920

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Column 7 of A265973.

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

R. H. Hardin, Table of n, a(n) for n = 1..160

Cf. A265973.

A265966 Number of n X n 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

Original entry on oeis.org

5, 288, 6112, 74248, 631264, 5006296, 34825856, 249438952, 1579115104

Offset: 1

R. H. Hardin, Dec 19 2015

nonn

Diagonal of A265973.

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

Cf. A265973.

cp's OEIS Frontend

A265967 Number of nX2 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265968 Number of nX3 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265969 Number of nX4 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265970 Number of nX5 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265971 Number of nX6 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265972 Number of nX7 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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A265966 Number of n X n 0..4 arrays with the absolute differences of each element with its with horizontal and vertical neighbors unique.

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