A219441 -id:A219441 - cp's OEIS frontend

A219436 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX3 array.

4, 18, 78, 329, 1396, 5925, 25147, 106731, 452984, 1922547, 8159665, 34631193, 146981443, 623817540, 2647601755, 11236931619, 47691701338, 202412762994, 859078738551, 3646095572825, 15474731627673, 65677740521441

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Column 3 of A219441

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

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

Empirical: a(n) = 4*a(n-1) +a(n-2) +a(n-3) -2*a(n-4) -6*a(n-5) -3*a(n-6) -2*a(n-7) +5*a(n-8) +4*a(n-9) -2*a(n-10) -2*a(n-11)

A219437 Unmatched value maps: number of nX4 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX4 array.

Original entry on oeis.org

7, 39, 281, 1750, 11283, 72272, 465400, 2995163, 19264275, 123892153, 796864416, 5125652937, 32969253934, 212061980660, 1364004538375, 8773442559359, 56431907119815, 362977142538622, 2334713999344447, 15017169783617850

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Column 4 of A219441

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

R. H. Hardin, Table of n, a(n) for n = 1..109

Empirical: a(n) = 8*a(n-1) -12*a(n-2) +6*a(n-3) +77*a(n-4) -184*a(n-5) -385*a(n-6) +137*a(n-7) +1716*a(n-8) +983*a(n-9) -3491*a(n-10) -525*a(n-11) +2567*a(n-12) -7634*a(n-13) +5725*a(n-14) +1489*a(n-15) +3574*a(n-16) +1516*a(n-17) -12799*a(n-18) +706*a(n-19) -3864*a(n-20) +7628*a(n-21) +8580*a(n-22) -6068*a(n-23) -1312*a(n-24) +160*a(n-25) +224*a(n-26) +48*a(n-27)

A219438 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX5 array.

Original entry on oeis.org

12, 96, 1072, 10157, 98584, 952625, 9230353, 89418051, 865738604, 8382034095, 81160468697, 785871654803, 7609490388891, 73681292305272, 713442897702121, 6908151296019613, 66890527908145736, 647690255888809878

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Column 5 of A219441

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

R. H. Hardin, Table of n, a(n) for n = 1..62

A219439 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX6 array.

Original entry on oeis.org

21, 225, 4033, 57249, 844553, 12323337, 180983751, 2656615237, 38958452805, 571246999054, 8377493560653, 122869945358060, 1802067766211909, 26429403407143030, 387617125521945071, 5684873531729895393

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Column 6 of A219441

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

R. H. Hardin, Table of n, a(n) for n = 1..33

A219440 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX7 array.

Original entry on oeis.org

37, 543, 15255, 326938, 7285283, 160436482, 3553813654, 78682793897, 1739719764661, 38456568548417, 850199779863242, 18798233014587802, 415629248838802678, 9189326940591712179, 203170331059931678345

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Column 7 of A219441

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

R. H. Hardin, Table of n, a(n) for n = 1..21

A219442 Unmatched value maps: number of 4Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 4Xn array.

Original entry on oeis.org

1, 47, 329, 1750, 10157, 57249, 326938, 1871991, 10717083, 61406130, 351621409, 2013957691, 11534261710, 66064401075, 378390334671, 2167284760374, 12413363760441, 71098932771545, 407227101232548, 2332439882554127

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Row 4 of A219441

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

R. H. Hardin, Table of n, a(n) for n = 1..30

A219443 Unmatched value maps: number of 5Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 5Xn array.

Original entry on oeis.org

1, 134, 1396, 11283, 98584, 844553, 7285283, 63351821, 550075610, 4785295684, 41593658285, 361645238004, 3144201225435, 27338782908435, 237713376159763, 2066953339295080, 17972428400647700, 156272292427772867

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Row 5 of A219441

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

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

A219444 Unmatched value maps: number of 6Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 6Xn array.

Original entry on oeis.org

1, 373, 5925, 72272, 952625, 12323337, 160436482, 2108558055, 27677084295, 364053375316, 4784797859949, 62906482762978, 827009838462183, 10873593600515732, 142970759857336082, 1879861240861922703

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Row 6 of A219441

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

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

A219435 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 n X n array.

Original entry on oeis.org

1, 6, 78, 1750, 98584, 12323337, 3553813654, 2370435069040, 3599403810329586

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Diagonal of A219441

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

A219445 Unmatched value maps: number of 7Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 7Xn array.

Original entry on oeis.org

1, 1035, 25147, 465400, 9230353, 180983751, 3553813654, 70729832177, 1404298087609, 27962151080194, 556217340268058

Offset: 1

R. H. Hardin Nov 20 2012

nonn

Row 7 of A219441

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

cp's OEIS Frontend

A219436 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX3 array.

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A219437 Unmatched value maps: number of nX4 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX4 array.

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A219438 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX5 array.

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A219439 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX6 array.

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A219440 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX7 array.

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A219442 Unmatched value maps: number of 4Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 4Xn array.

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A219443 Unmatched value maps: number of 5Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 5Xn array.

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A219444 Unmatched value maps: number of 6Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 6Xn array.

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A219435 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 n X n array.

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A219445 Unmatched value maps: number of 7Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 7Xn array.

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