A218765 -id:A218765 - cp's OEIS frontend

A218759 Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X 2 array.

2, 6, 18, 47, 134, 373, 1035, 2889, 8050, 22420, 62477, 174072, 484983, 1351277, 3764915, 10489750, 29226504, 81430659, 226881448, 632135485, 1761251171, 4907184849, 13672362150, 38093833868, 106136756981, 295717444696

Offset: 1

R. H. Hardin, Nov 05 2012

nonn

Column 2 of A218765.

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

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

Cf. A218765.

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

Empirical g.f.: x*(2 + 2*x + 4*x^2 - x^3 + 4*x^4 - 2*x^6) / (1 - 2*x - x^2 - 3*x^3 - 2*x^5 - 2*x^6 + 2*x^7). - Colin Barker, Mar 10 2018

A218760 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX3 array.

Original entry on oeis.org

4, 18, 90, 403, 1876, 8697, 40383, 187413, 869598, 4035492, 18727387, 86907272, 403304737, 1871588753, 8685363409, 40305616278, 187043701224, 868001747571, 4028080274884, 18692855005565, 86746738864403, 402560052640421

Offset: 1

R. H. Hardin Nov 05 2012

nonn

Column 3 of A218765

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

R. H. Hardin, Table of n, a(n) for n = 1..63

Empirical: a(n) = 4*a(n-1) +a(n-2) +7*a(n-3) +11*a(n-4) +2*a(n-5) -28*a(n-6) -11*a(n-7) -4*a(n-8) -13*a(n-9) +12*a(n-10) -137*a(n-11) -48*a(n-12) +129*a(n-13) +31*a(n-14) -51*a(n-15) -32*a(n-16) +6*a(n-17) +10*a(n-18) +2*a(n-19)

A218761 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X 4 array.

Original entry on oeis.org

7, 47, 403, 2942, 22439, 170148, 1291662, 9807350, 74441043, 565067801, 4289417212, 32560993753, 247169557952, 1876254744847, 14242588588406, 108115048685864, 820697944019795, 6229892072413748, 47290913215565827

Offset: 1

R. H. Hardin, Nov 05 2012

nonn

Column 4 of A218765.

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

R. H. Hardin, Table of n, a(n) for n = 1..49

Cf. A218765.

A218762 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX5 array.

Original entry on oeis.org

12, 134, 1876, 22439, 280850, 3488015, 43403573, 540089167, 6717643958, 83563261332, 1039486332867, 12930764176074, 160851990999547, 2000913433617465, 24890325913205903, 309622796717628738

Offset: 1

R. H. Hardin Nov 05 2012

nonn

Column 5 of A218765

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

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

A218763 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX6 array.

Original entry on oeis.org

21, 373, 8697, 170148, 3488015, 70915451, 1444700004, 29426750811, 599056249102, 12196183065261, 248303130737344, 5055219016095223, 102918285280874701, 2095289674633493599, 42657543159685926011, 868455498699347842027

Offset: 1

R. H. Hardin Nov 05 2012

nonn

Column 6 of A218765

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

R. H. Hardin, Table of n, a(n) for n = 1..17

A218758 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X n array.

Original entry on oeis.org

1, 6, 90, 2942, 280850, 70915451, 48186998294, 87678602579068

Offset: 1

R. H. Hardin Nov 05 2012

nonn

Diagonal of A218765

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

A218764 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX7 array.

Original entry on oeis.org

37, 1035, 40383, 1291662, 43403573, 1444700004, 48186998294, 1606766223984, 53537060426191, 1783895392003265, 59439520136317957

Offset: 1

R. H. Hardin Nov 05 2012

nonn

Column 7 of A218765

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

cp's OEIS Frontend

A218759 Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X 2 array.

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A218760 Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX3 array.

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A218761 Unmatched value maps: number of n X 4 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X 4 array.

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A218762 Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX5 array.

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A218763 Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX6 array.

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A218758 Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 n X n array.

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A218764 Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX7 array.

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