A218651 -id:A218651 - cp's OEIS frontend

A218645 Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X 2 array.

4, 16, 66, 292, 1280, 5644, 24782, 108940, 478862, 2104866, 9252000, 40667620, 178756504, 785732636, 3453724976, 15181011874, 66728857148, 293309853452, 1289257359676, 5666991817956, 24909531073894, 109491024206644

Offset: 1

R. H. Hardin, Nov 03 2012

nonn

Column 2 of A218651.

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

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

Cf. A218651.

Empirical: a(n) = 2*a(n-1) + 7*a(n-2) + 12*a(n-3) + 14*a(n-4) + 7*a(n-5) - 2*a(n-6) - 3*a(n-7) - a(n-8).

Empirical g.f.: 2*x*(2 + 4*x + 3*x^2 - 7*x^4 - 2*x^5 + x^6 + x^7) / (1 - 2*x - 7*x^2 - 12*x^3 - 14*x^4 - 7*x^5 + 2*x^6 + 3*x^7 + x^8). - Colin Barker, Jul 24 2018

A218646 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX3 array.

Original entry on oeis.org

16, 66, 610, 4946, 44712, 391888, 3441914, 30316230, 266671334, 2346850058, 20652411898, 181738545458, 1599310922692, 14073950030962, 123851052268298, 1089892156540672, 9591074382276762, 84401670396996900, 742736585615588566

Offset: 1

R. H. Hardin Nov 03 2012

nonn

Column 3 of A218651

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

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

Empirical: a(n) = 8*a(n-1) +6*a(n-2) +27*a(n-3) -123*a(n-4) -58*a(n-5) -2059*a(n-6) -689*a(n-7) +846*a(n-8) -1326*a(n-9) +10232*a(n-10) +28870*a(n-11) -23223*a(n-12) -76249*a(n-13) +22843*a(n-14) +95384*a(n-15) -10406*a(n-16) -67533*a(n-17) -2090*a(n-18) +30314*a(n-19) +3123*a(n-20) -7834*a(n-21) -1293*a(n-22) +1062*a(n-23) +240*a(n-24) -56*a(n-25) -15*a(n-26) for n>27

A218647 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX4 array.

Original entry on oeis.org

36, 292, 4946, 82188, 1374954, 23370578, 394655980, 6688451956, 113330380248, 1919929942392, 32533805101006, 551254991578840, 9340671432312772, 158272966584027210, 2681844781855552786, 45442423044091925218

Offset: 1

R. H. Hardin Nov 03 2012

nonn

Column 4 of A218651

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

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

A218648 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

94, 1280, 44712, 1374954, 45453172, 1519211492, 50119569324, 1664686049742, 55271550032162, 1834389849757758, 60908824469453990, 2022184882918753962, 67138807540703516826, 2229116172523577249680, 74009789156374427379680

Offset: 1

R. H. Hardin Nov 03 2012

nonn

Column 5 of A218651

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

R. H. Hardin, Table of n, a(n) for n = 1..207

A218649 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX6 array.

Original entry on oeis.org

236, 5644, 391888, 23370578, 1519211492, 99181510254, 6431987350130, 419623464236488, 27357863689722514, 1783200625332610748, 116285423303246786898, 7582253123955997499522, 494404195464186732399198

Offset: 1

R. H. Hardin Nov 03 2012

nonn

Column 6 of A218651

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

R. H. Hardin, Table of n, a(n) for n = 1..127

A218650 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX7 array.

Original entry on oeis.org

602, 24782, 3441914, 394655980, 50119569324, 6431987350130, 817394844786996, 104563780472177342, 13375235335809957170, 1710137926295211991338, 218764828600351495270866, 27982536987440234040232618

Offset: 1

R. H. Hardin Nov 03 2012

nonn

Column 7 of A218651

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

R. H. Hardin, Table of n, a(n) for n = 1..34

A218644 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X n array.

Original entry on oeis.org

4, 16, 610, 82188, 45453172, 99181510254, 817394844786996, 26269231937922520406

Offset: 1

R. H. Hardin, Nov 03 2012

nonn

Diagonal of A218651.

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

Cf. A218651.

cp's OEIS Frontend

A218645 Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X 2 array.

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A218646 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX3 array.

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A218647 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX4 array.

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A218648 Number of nX5 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX5 array.

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A218649 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX6 array.

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A218650 Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 nX7 array.

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A218644 Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..3 n X n array.

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