A219310 -id:A219310 - cp's OEIS frontend

A219305 Unchanging value maps: number of nX3 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX3 array.

4, 18, 90, 423, 1958, 9233, 43725, 206269, 971794, 4583164, 21622807, 101988408, 481001317, 2268654909, 10700463129, 50469641870, 238042556300, 1122743524739, 5295505220276, 24976631418525, 117804014337453, 555630918690165

Offset: 1

R. H. Hardin Nov 17 2012

nonn

Column 3 of A219310

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

R. H. Hardin, Table of n, a(n) for n = 1..95

Empirical: a(n) = 4*a(n-1) +a(n-2) +7*a(n-3) +35*a(n-4) -60*a(n-5) -68*a(n-6) +93*a(n-7) -72*a(n-8) -111*a(n-9) +101*a(n-10) -21*a(n-11) -28*a(n-12) +32*a(n-13) +2*a(n-14) +6*a(n-15) +8*a(n-16)

A219306 Unchanging value maps: number of nX4 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX4 array.

Original entry on oeis.org

7, 51, 423, 3334, 25647, 200376, 1574278, 12334824, 96480571, 755212375, 5914093280, 46306103745, 362524633360, 2838264260603, 22221912955624, 173982894127917, 1362160216940837, 10664747935404835, 83497581682654109

Offset: 1

R. H. Hardin Nov 17 2012

nonn

Column 4 of A219310

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

R. H. Hardin, Table of n, a(n) for n = 1..48

A219307 Unchanging value maps: number of nX5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX5 array.

Original entry on oeis.org

12, 142, 1958, 25647, 326444, 4215579, 54797587, 710493819, 9194088812, 119051026450, 1542298398563, 19977719144984, 258742519096389, 3351214351286909, 43406104354037517, 562207779495312746

Offset: 1

R. H. Hardin Nov 17 2012

nonn

Column 5 of A219310

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

R. H. Hardin, Table of n, a(n) for n = 1..40

A219304 Unchanging value maps: number of n X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 n X n array.

Original entry on oeis.org

1, 6, 90, 3334, 326444, 89981627, 68906619754, 144049729095880

Offset: 1

R. H. Hardin Nov 17 2012

nonn

Diagonal of A219310

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

A219308 Unchanging value maps: number of nX6 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX6 array.

Original entry on oeis.org

21, 405, 9233, 200376, 4215579, 89981627, 1935133104, 41520773667, 888957906061, 19043081452793, 408152775865291, 8747035260806150, 187430143072289130, 4016312124315997845, 86065761676864158937

Offset: 1

R. H. Hardin Nov 17 2012

nonn

Column 6 of A219310

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

A219309 Unchanging value maps: number of n X 7 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 n X 7 array.

Original entry on oeis.org

37, 1157, 43725, 1574278, 54797587, 1935133104, 68906619754, 2448261182674, 86782430779997

Offset: 1

R. H. Hardin, Nov 17 2012

nonn

Column 7 of A219310.

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

Cf. A219310.

cp's OEIS Frontend

A219305 Unchanging value maps: number of nX3 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX3 array.

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A219306 Unchanging value maps: number of nX4 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX4 array.

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A219307 Unchanging value maps: number of nX5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX5 array.

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A219304 Unchanging value maps: number of n X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 n X n array.

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A219308 Unchanging value maps: number of nX6 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nX6 array.

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A219309 Unchanging value maps: number of n X 7 binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 n X 7 array.

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