A229380 -id:A229380 - cp's OEIS frontend

A229373 Number of n X n 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

3, 30, 956, 78690, 20014278, 13999334726, 29757371834046, 174511010613631514, 3123774881474924676470, 153541601581149110702908096, 23150533101205838897343355257558, 9547382122506738591063952302014235288

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Diagonal of A229380.

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

R. H. Hardin, Table of n, a(n) for n = 1..13

Cf. A229380.

A229374 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

8, 30, 126, 518, 2138, 8818, 36374, 150038, 618890, 2552850, 10530214, 43435926, 179168218, 739048370, 3048489846, 12574671318, 51869078378, 213954005138, 882535756294, 3640358873558, 15016063240250, 61939540321970

Offset: 1

R. H. Hardin, Sep 21 2013

nonn

			Some solutions for n=4:
  1 0   1 0   1 2   0 2   2 1   1 0   0 1   2 0   0 1   0 1
  1 2   2 2   2 0   2 1   0 1   2 1   2 1   1 2   1 2   2 1
  0 1   0 1   1 2   0 1   2 1   0 0   0 0   2 1   0 1   0 1
  0 1   1 2   0 1   0 1   1 0   1 2   2 2   0 0   1 2   0 1

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

Column 2 of A229380.

Empirical: a(n) = 4*a(n-1) + a(n-2) - 2*a(n-3).

Empirical g.f.: 2*x*(4 - x - x^2) / (1 - 4*x - x^2 + 2*x^3). - Colin Barker, Sep 14 2018

A229375 Number of nX3 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

22, 126, 956, 6730, 48490, 346598, 2486980, 17808604, 127696504, 914844004, 6558227280, 46993954326, 336844120550, 2413933454878, 17301596035866, 123994418056868, 888689321106698, 6369062557713410, 45647482408072212

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 3 of A229380

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

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

Empirical: a(n) = 4*a(n-1) +50*a(n-2) -133*a(n-3) -653*a(n-4) +1214*a(n-5) +2281*a(n-6) -3420*a(n-7) -2248*a(n-8) +2704*a(n-9) +835*a(n-10) -481*a(n-11) -120*a(n-12)

A229376 Number of nX4 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

60, 518, 6730, 78690, 956866, 11441370, 138118032, 1657198220, 19969628086, 239888727922, 2888372417962, 34717775838484, 417835837510270, 5023955278338394, 60449751205860716, 726964181424486002

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 4 of A229380

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

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

Empirical: a(n) = 6*a(n-1) +150*a(n-2) -614*a(n-3) -6021*a(n-4) +20473*a(n-5) +101559*a(n-6) -313078*a(n-7) -812145*a(n-8) +2419449*a(n-9) +3153273*a(n-10) -9572428*a(n-11) -6094709*a(n-12) +19880682*a(n-13) +5584682*a(n-14) -21686564*a(n-15) -1854284*a(n-16) +12002158*a(n-17) -190196*a(n-18) -3154524*a(n-19) +224356*a(n-20) +344336*a(n-21) -35568*a(n-22) -12480*a(n-23) +1536*a(n-24) for n>25

A229377 Number of nX5 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

164, 2138, 48490, 956866, 20014278, 407900408, 8454015792, 173331549156, 3583467036398, 73637531304764, 1520470917860158, 31281412038561736, 645413766480453102, 13287410455121938834, 274025926174436180190

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 5 of A229380

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 64

Empirical recurrence of order 64 (see link above)

A229378 Number of nX6 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

448, 8818, 346598, 11441370, 407900408, 13999334726, 492938029980, 17047266083040, 597865838000740, 20740608165866648, 725812479117899160, 25224055021486126018, 881505120022046301944, 30668872473833482523122

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 6 of A229380

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

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

A229379 Number of nX7 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

Original entry on oeis.org

1224, 36374, 2486980, 138118032, 8454015792, 492938029980, 29757371834046, 1753378119210848, 105365264675732262, 6236225995970496338, 373776319178643511574, 22179629928239882354518, 1327081034442636655221164

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 7 of A229380

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

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

cp's OEIS Frontend

A229373 Number of n X n 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229374 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229375 Number of nX3 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229376 Number of nX4 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229377 Number of nX5 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229378 Number of nX6 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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A229379 Number of nX7 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 diagonally or antidiagonally.

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