A218056 -id:A218056 - cp's OEIS frontend

A218051 Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X 1 array.

4, 4, 16, 36, 94, 236, 602, 1528, 3882, 9858, 25038, 63592, 161514, 410218, 1041884, 2646208, 6720920, 17069998, 43354902, 110114102, 279671154, 710317326, 1804085608, 4582071648, 11637685314, 29557748082, 75071670020, 190669317026

Offset: 1

R. H. Hardin, Oct 19 2012

nonn

Column 1 of A218056.

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

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

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

Empirical g.f.: 2*x*(2 - 2*x + 2*x^2 - x^4) / (1 - 2*x - x^2 - 2*x^4 - x^5). - Colin Barker, Feb 19 2018

A218052 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

36, 36, 1296, 9792, 114886, 1171452, 12670594, 134406796, 1433633158, 15254842534, 162467654898, 1729976648128, 18422895121806, 196181320194934, 2089107679946564, 22246541273925668, 236900028399042908

Offset: 1

R. H. Hardin Oct 19 2012

nonn

Column 4 of A218056

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

R. H. Hardin, Table of n, a(n) for n = 1..128

A218053 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

94, 94, 8836, 114886, 2585920, 49284832, 1007805010, 20132968950, 404539599336, 8108559847952, 162698302825806, 3263819697056656, 65480211527750358, 1313638552030968606, 26353952989359288372, 528706130652594852786

Offset: 1

R. H. Hardin Oct 19 2012

nonn

Column 5 of A218056

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

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

A218054 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX6 array.

Original entry on oeis.org

236, 236, 55696, 1171452, 49284832, 1673074136, 62191743600, 2242118119704, 81495204878500, 2952333174631968, 107107891606534260, 3884506734259301980, 140899267766085433488, 5110430887506615362216, 185358543874705571367220

Offset: 1

R. H. Hardin Oct 19 2012

nonn

Column 6 of A218056

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

R. H. Hardin, Table of n, a(n) for n = 1..170

A218055 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX7 array.

Original entry on oeis.org

602, 602, 362404, 12670594, 1007805010, 62191743600, 4273380556408, 283103005372942, 18938731321364818, 1262054520266409906, 84244401253208748384, 5621327019548080756652, 375150560936424837817544

Offset: 1

R. H. Hardin Oct 19 2012

nonn

Column 7 of A218056

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

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

A218050 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X n array.

Original entry on oeis.org

4, 4, 256, 9792, 2585920, 1673074136, 4273380556408, 34255740119092068

Offset: 1

R. H. Hardin, Oct 19 2012

nonn

Diagonal of A218056.

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

Cf. A218056.

cp's OEIS Frontend

A218051 Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X 1 array.

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A218052 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX4 array.

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A218053 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX5 array.

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A218054 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX6 array.

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A218055 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nX7 array.

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A218050 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X n array.

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