A229372 -id:A229372 - cp's OEIS frontend

A229365 Number of n X n 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

3, 38, 1610, 222990, 104382552, 162794962814, 851668326534130, 14897378230939391994, 872764112558460116016396, 171094770747292212524499798502, 112292092887713869652391305250607824

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Diagonal of A229372

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

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

A229366 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

8, 38, 184, 869, 4144, 19675, 93589, 444824, 2114934, 10054148, 47798953, 227238276, 1080310539, 5135871337, 24416324712, 116077006646, 551838764656, 2623482504621, 12472231233800, 59293915534091, 281887688707501

Offset: 1

R. H. Hardin, Sep 21 2013

nonn

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

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

Column 2 of A229372.

Empirical: a(n) = 2*a(n-1) + 13*a(n-2) + 3*a(n-3) - 13*a(n-4) + 4*a(n-5).

Empirical g.f.: x*(8 + 22*x + 4*x^2 - 17*x^3 + 4*x^4) / (1 - 2*x - 13*x^2 - 3*x^3 + 13*x^4 - 4*x^5). - Colin Barker, Sep 14 2018

A229367 Number of nX3 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

22, 184, 1610, 13937, 122497, 1067299, 9346997, 81633583, 713982837, 6240061504, 54556988152, 476904755485, 4169201095109, 36446367090562, 318614423423484, 2785298770230012, 24348966185185668, 212857075051476381

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 3 of A229372

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

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

Empirical: a(n) = 2*a(n-1) +61*a(n-2) +48*a(n-3) -586*a(n-4) -158*a(n-5) +2199*a(n-6) -1140*a(n-7) -1304*a(n-8) +440*a(n-9) +416*a(n-10) +64*a(n-11)

A229368 Number of nX4 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

60, 869, 13937, 222990, 3576912, 56939585, 911301584, 14532090528, 232232172607, 3706745079815, 59203178820148, 945256319974208, 15094878048962231, 241030410158025724, 3848864771555252792, 61458856647843842612

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 4 of A229372

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

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

Empirical: a(n) = 2*a(n-1) +257*a(n-2) +433*a(n-3) -16073*a(n-4) -20963*a(n-5) +481391*a(n-6) +119200*a(n-7) -7182420*a(n-8) +4731824*a(n-9) +44618241*a(n-10) -29900281*a(n-11) -162825007*a(n-12) +45010518*a(n-13) +361117327*a(n-14) +96538808*a(n-15) -378171592*a(n-16) -303446432*a(n-17) +22354064*a(n-18) +83608448*a(n-19) +6923904*a(n-20) -10505152*a(n-21) -433920*a(n-22) +664576*a(n-23) -65536*a(n-24) for n>25

A229369 Number of nX5 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

164, 4144, 122497, 3576912, 104382552, 3043629267, 89084628843, 2599351293506, 76022735747576, 2220055036850204, 64891952478301245, 1895740602154065042, 55399224157117918936, 1618646788430829125358, 47297972275705523494868

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 5 of A229372

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 50

Empirical recurrence of order 50 (see link above)

A229370 Number of nX6 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

448, 19675, 1067299, 56939585, 3043629267, 162794962814, 8710922742428, 465220677212678, 24888824486410340, 1329636795738857739, 71103770288879123298, 3799851842800067248447, 203151084678069461627099

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 6 of A229372

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

R. H. Hardin, Table of n, a(n) for n = 1..220

A229371 Number of nX7 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

Original entry on oeis.org

1224, 93589, 9346997, 911301584, 89084628843, 8710922742428, 851668326534130, 83250606242790579, 8145575543947646167, 796251832574767236498, 77900125870506075981681, 7616537920070292008035552

Offset: 1

R. H. Hardin Sep 21 2013

nonn

Column 7 of A229372

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

R. H. Hardin, Table of n, a(n) for n = 1..220

cp's OEIS Frontend

A229365 Number of n X n 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229366 Number of n X 2 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229367 Number of nX3 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229368 Number of nX4 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229369 Number of nX5 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229370 Number of nX6 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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A229371 Number of nX7 0..2 arrays avoiding 11 horizontally, 22 vertically and 00 antidiagonally.

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