A219128 -id:A219128 - cp's OEIS frontend

A219123 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX3 array.

9, 87, 787, 6981, 63183, 571149, 5167013, 46755215, 423105613, 3828940359, 34650738731, 313579561365, 2837811156791, 25681442217553, 232410308770677, 2103252374190595, 19033883010223093, 172251656124086271

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Column 3 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..36

Empirical: a(n) = 10*a(n-1) -5*a(n-2) -24*a(n-3) -70*a(n-4) -58*a(n-5) -81*a(n-6) -200*a(n-7) +269*a(n-8) +1056*a(n-9) +1650*a(n-10) +1036*a(n-11) +200*a(n-12)

A219124 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX4 array.

Original entry on oeis.org

17, 205, 3495, 42231, 607115, 8325319, 114689693, 1583482167, 21831504231, 301126108879, 4153227990805, 57281866420441, 790048231002831, 10896532943007507, 150287680332386601, 2072805019108992699

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Column 4 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..27

A219125 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX5 array.

Original entry on oeis.org

37, 899, 27993, 717585, 20168447, 558561433, 15524812691, 432020067871, 12027081633341, 334920902829343, 9328024055916403, 259818417215925211, 7237161898806635431, 201593314430614908129, 5615507084462551417685

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Column 5 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..22

A219126 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX6 array.

Original entry on oeis.org

77, 2521, 154447, 5940377, 285332189, 12934559893, 590246442003, 26987000751247, 1232382567427897, 56299405078467035, 2571866092813365449, 117486140374359868647, 5366976355410950947451, 245172549849502934782877

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Column 6 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..18

A219129 Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 2 X n array.

Original entry on oeis.org

9, 15, 87, 205, 899, 2521, 9709, 29747, 107261, 344055, 1199763, 3940341, 13507819, 44905025, 152598957, 510467683, 1726955485, 5795447559, 19561570195, 65753998917, 221680877531, 745782497713, 2512791313869, 8457223721011

Offset: 1

R. H. Hardin, Nov 12 2012

nonn

Row 2 of A219128.

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

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

Cf. A219128.

Empirical: a(n) = 2*a(n-1) + 6*a(n-2) - 6*a(n-3) + 7*a(n-4) - 10*a(n-5) + 6*a(n-6) - 6*a(n-7) - 4*a(n-8).

Empirical g.f.: x*(9 - 3*x + 3*x^2 - 5*x^3 - 6*x^4 - 10*x^6 - 4*x^7) / (1 - 2*x - 6*x^2 + 6*x^3 - 7*x^4 + 10*x^5 - 6*x^6 + 6*x^7 + 4*x^8). - Colin Barker, Jul 25 2018

A219130 Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 3Xn array.

Original entry on oeis.org

27, 69, 787, 3495, 27993, 154447, 1080809, 6526907, 43241983, 270431585, 1753511935, 11117046371, 71479973835, 455588313465, 2919712813815, 18647687495411, 119353646989167, 762902760386741, 4880484858150293

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Row 3 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..28

A219131 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 4Xn array.

Original entry on oeis.org

81, 253, 6981, 42231, 717585, 5940377, 80892559, 781927421, 9569579009, 99563194119, 1158353288989, 12479863472959, 141758613941473, 1552733071485933, 17438598795150161, 192510267581544599

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Row 4 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..24

A219132 Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 5Xn array.

Original entry on oeis.org

243, 1049, 63183, 607115, 20168447, 285332189, 7257445621, 124234358895, 2783396055591, 52032195606049, 1099686106378363, 21401861684236265, 440426781367948209, 8729796620293368601, 177478732361408469929

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Row 5 of A219128

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

R. H. Hardin, Table of n, a(n) for n = 1..25

A219122 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 n X n array.

Original entry on oeis.org

3, 15, 787, 42231, 20168447, 12934559893, 54444733905291

Offset: 1

R. H. Hardin, Nov 12 2012

nonn

Diagonal of A219128.

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

Cf. A219128.

A219127 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX7 array.

Original entry on oeis.org

163, 9709, 1080809, 80892559, 7257445621, 626563120157, 54444733905291, 4738636777731819, 412568744080021983, 35937494222144972157, 3131222717165356890307

Offset: 1

R. H. Hardin Nov 12 2012

nonn

Column 7 of A219128

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

cp's OEIS Frontend

A219123 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX3 array.

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A219124 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX4 array.

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A219125 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX5 array.

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A219126 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX6 array.

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A219129 Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 2 X n array.

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A219130 Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 3Xn array.

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A219131 Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 4Xn array.

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A219132 Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 5Xn array.

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A219122 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 n X n array.

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A219127 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nX7 array.

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