A204978 -id:A204978 - cp's OEIS frontend

A204973 Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

4, 96, 1217, 16813, 226908, 3074889, 41618941, 563504926, 7628868673, 103284942785, 1398329242622, 18931424557397, 256304779809413, 3470006246394670, 46978999502038957, 636029536681800861

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Column 3 of A204978

			Some solutions for n=5
..0..1..2....0..0..1....0..1..0....0..0..1....0..1..1....0..0..1....0..0..1
..0..2..1....0..1..1....2..1..2....2..0..0....0..1..2....0..0..1....1..2..2
..1..2..0....2..2..0....2..2..1....2..1..2....2..2..0....1..1..2....2..1..2
..1..0..0....0..1..2....0..1..1....1..1..2....0..1..1....2..1..1....2..2..0
..2..2..1....0..1..1....0..0..2....1..2..0....0..2..1....0..0..2....0..1..1

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

Empirical: a(n) = 9*a(n-1) +79*a(n-2) -165*a(n-3) -1117*a(n-4) +1506*a(n-5) +4665*a(n-6) -8530*a(n-7) +2842*a(n-8) +16415*a(n-9) -52874*a(n-10) -90975*a(n-11) +139014*a(n-12) -2762*a(n-13) -188806*a(n-14) +657130*a(n-15) -216610*a(n-16) -282088*a(n-17) +299084*a(n-18) -320888*a(n-19) -25488*a(n-20) +130096*a(n-21) -166448*a(n-22) -3680*a(n-23) +14752*a(n-24) -23360*a(n-25) +12288*a(n-26) +6144*a(n-27)

A204974 Number of nX4 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

11, 726, 16813, 451468, 11815256, 311275169, 8202482914, 216132492162, 5694910498914, 150054777556991, 3953775892498008, 104177764014536592, 2744972159153714019, 72327078831355250520, 1905740996306739704109

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Column 4 of A204978

			Some solutions for n=5
..0..1..0..1....0..0..1..1....0..0..1..1....0..1..1..0....0..1..2..0
..2..0..1..1....1..0..1..1....2..0..0..2....1..2..2..1....1..2..2..0
..2..0..2..2....1..2..2..0....0..1..2..2....2..2..1..0....0..1..1..2
..0..1..2..2....2..2..1..0....2..1..1..0....0..0..1..2....0..1..2..1
..2..1..0..0....0..0..1..1....2..2..0..2....2..2..0..2....2..0..2..2

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

A204975 Number of nX5 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

30, 5400, 226908, 11815256, 594430765, 30057359681, 1519010368414, 76757855124562, 3878731054806384, 196001179244804717, 9904372451888881080, 500490203444826245265, 25290888836528806246336, 1278005232465153039958786

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Column 5 of A204978

			Some solutions for n=5
..0..1..2..0..1....0..1..0..2..1....0..0..1..2..0....0..1..2..0..1
..2..1..2..2..0....2..1..1..2..0....1..1..2..0..2....1..2..1..0..1
..0..0..1..2..0....1..0..1..0..1....2..0..2..1..0....1..2..0..2..0
..0..1..0..0..1....1..2..2..0..1....0..1..0..1..0....0..1..1..0..0
..2..2..1..2..1....2..1..2..2..0....1..0..0..2..2....2..0..2..1..1

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

A204976 Number of nX6 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

82, 40344, 3074889, 311275169, 30057359681, 2924321664147, 284567725886961, 27695578120521405, 2695539138454039643, 262351473887992967184, 25534043844803329717305, 2485171474074376861287947

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Column 6 of A204978

			Some solutions for n=5
..0..1..2..1..0..2....0..0..1..0..1..0....0..0..1..2..2..0....0..1..0..2..1..2
..2..0..0..2..1..0....0..0..2..1..0..0....0..0..2..1..2..0....2..0..2..2..1..0
..1..2..1..2..0..2....1..1..2..1..2..2....1..1..2..2..0..1....2..1..1..0..2..1
..2..2..0..1..2..0....2..0..0..2..0..0....1..2..1..2..1..2....0..1..0..2..0..0
..2..1..0..0..2..0....1..1..0..2..1..0....0..1..2..0..1..2....2..2..0..2..0..2

R. H. Hardin, Table of n, a(n) for n = 1..53

A204972 Number of n X n 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

1, 14, 1217, 451468, 594430765, 2924321664147

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Diagonal of A204978

			Some solutions for n=5
..0..1..2..0..1....0..1..2..0..1....0..0..1..0..1....0..1..1..2..2
..2..1..2..2..0....2..2..1..1..2....2..1..2..1..2....1..1..2..1..1
..0..0..1..2..0....1..2..2..0..1....2..1..2..1..2....0..0..1..2..2
..0..1..0..0..1....0..0..1..1..2....0..2..1..2..0....2..0..0..2..0
..2..2..1..2..1....2..2..0..2..1....1..2..0..2..0....2..2..1..1..2

A204977 Number of nX7 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

Original entry on oeis.org

224, 301056, 41618941, 8202482914, 1519010368414, 284567725886961

Offset: 1

R. H. Hardin Jan 21 2012

nonn

Column 7 of A204978

			Some solutions for n=5
..0..0..1..1..2..0..0....0..0..1..1..2..0..1....0..0..1..0..2..1..1
..2..1..1..0..1..0..0....1..2..1..2..1..0..1....1..2..1..1..2..1..1
..2..2..0..1..1..2..1....0..2..0..0..1..2..0....1..0..2..2..0..2..2
..1..2..0..0..2..2..0....1..0..0..1..2..2..0....2..1..0..0..1..1..0
..2..0..1..1..2..1..1....1..1..2..0..0..1..2....0..2..2..1..2..2..0

cp's OEIS Frontend

A204973 Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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A204974 Number of nX4 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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A204975 Number of nX5 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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A204976 Number of nX6 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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A204972 Number of n X n 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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A204977 Number of nX7 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order.

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