A219106 -id:A219106 - cp's OEIS frontend

A219100 Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X 2 array.

2, 11, 42, 154, 582, 2199, 8287, 31240, 117789, 444096, 1674344, 6312696, 23800449, 89733625, 338318146, 1275543835, 4809118522, 18131576722, 68360568206, 257736398631, 971730529991, 3663666552088, 13812937013629, 52078218972608

Offset: 1

R. H. Hardin, Nov 11 2012

nonn

Column 2 of A219106.

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

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

Cf. A219106.

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

Empirical g.f.: x*(2 + 3*x + 2*x^2 - 2*x^3 + x^4) / (1 - 4*x + 2*x^2 - 5*x^3 + 3*x^4 - x^5). - Colin Barker, Mar 10 2018

A219101 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX3 array.

Original entry on oeis.org

4, 42, 288, 1971, 13674, 95146, 660556, 4584620, 31824915, 220924781, 1533614678, 10646013585, 73902329152, 513014128876, 3561233933988, 24721320932489, 171610099765915, 1191280452221190, 8269613020988031, 57405877333497254

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Column 3 of A219106

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

R. H. Hardin, Table of n, a(n) for n = 1..60

Empirical: a(n) = 8*a(n-1) -11*a(n-2) +25*a(n-3) +7*a(n-4) -46*a(n-5) +115*a(n-6) -75*a(n-7) -10*a(n-8) +180*a(n-9) -264*a(n-10) +268*a(n-11) -132*a(n-12) +28*a(n-13) +16*a(n-14) -8*a(n-15) for n>21

A219099 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X n array.

Original entry on oeis.org

1, 11, 288, 26145, 8647530, 10432278539

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Diagonal of A219106

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

A219102 Unmatched value maps: number of nX4 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX4 array.

Original entry on oeis.org

7, 154, 1971, 26145, 345529, 4591348, 60957131, 808775383, 10730450566, 142374312237, 1889071087541, 25064739289749, 332565856800052, 4412576498338590, 58547301537107255

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Column 4 of A219106

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

A219103 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX5 array.

Original entry on oeis.org

12, 582, 13674, 345529, 8647530, 217909019, 5486836181

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Column 5 of A219106

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

A219104 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX6 array.

Original entry on oeis.org

21, 2199, 95146, 4591348, 217909019, 10432278539

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Column 6 of A219106

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

A219105 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX7 array.

Original entry on oeis.org

37, 8287, 660556, 60957131, 5486836181

Offset: 1

R. H. Hardin Nov 11 2012

nonn

Column 7 of A219106

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

cp's OEIS Frontend

A219100 Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X 2 array.

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A219101 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX3 array.

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A219099 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X n array.

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A219102 Unmatched value maps: number of nX4 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX4 array.

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A219103 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX5 array.

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A219104 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX6 array.

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A219105 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX7 array.

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