A240656 -id:A240656 - cp's OEIS frontend

A240651 Number of nX3 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

1, 2, 9, 17, 43, 136, 402, 1180, 3518, 10525, 31454, 94059, 281484, 842574, 2522415, 7552239, 22613578, 67714627, 202772197, 607215863, 1818375168, 5445371326, 16306993036, 48833947510, 146241553581, 437945846008, 1311506541151

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 3 of A240656

			Some solutions for n=4
..0..0..0....0..1..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1
..0..0..0....1..0..1....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....1..0..1....0..0..1....1..0..0....0..0..1....0..0..1....1..0..0

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

Empirical: a(n) = 3*a(n-1) +a(n-2) +2*a(n-3) -11*a(n-4) -12*a(n-5) -9*a(n-6) +15*a(n-7) +23*a(n-8) +20*a(n-9) -6*a(n-10) -15*a(n-11) -12*a(n-12) -2*a(n-13) +3*a(n-14) +a(n-15)

A240652 Number of nX4 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

Original entry on oeis.org

1, 3, 17, 91, 352, 1545, 7154, 33269, 154974, 724237, 3394852, 15935126, 74854028, 351802659, 1653966146, 7777530146, 36577083726, 172031838421, 809149353515, 3805931188358, 17901967673107, 84206433807963, 396088887787212

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 4 of A240656

			Some solutions for n=4
..0..0..0..1....0..0..0..0....0..1..1..1....0..1..1..0....0..0..0..0
..0..0..0..0....0..0..0..0....1..1..0..1....1..1..1..1....0..0..0..0
..1..0..0..0....0..0..0..0....1..0..1..1....1..1..0..1....1..1..0..0
..0..1..0..0....1..0..0..1....1..1..1..0....0..1..1..1....1..1..0..0

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

Empirical: a(n) = 6*a(n-1) -5*a(n-2) +2*a(n-3) -17*a(n-4) -64*a(n-5) -92*a(n-6) +24*a(n-7) +159*a(n-8) +803*a(n-9) +1491*a(n-10) +1970*a(n-11) +1678*a(n-12) -661*a(n-13) -5546*a(n-14) -11953*a(n-15) -18840*a(n-16) -20162*a(n-17) -13954*a(n-18) +3124*a(n-19) +29982*a(n-20) +57408*a(n-21) +71870*a(n-22) +67778*a(n-23) +36825*a(n-24) -12790*a(n-25) -63687*a(n-26) -92941*a(n-27) -91422*a(n-28) -61244*a(n-29) -12245*a(n-30) +25219*a(n-31) +41068*a(n-32) +34422*a(n-33) +19986*a(n-34) +4392*a(n-35) -450*a(n-36) +906*a(n-37) +3453*a(n-38) +4580*a(n-39) +4351*a(n-40) +1645*a(n-41) -1495*a(n-42) -2735*a(n-43) -2047*a(n-44) -913*a(n-45) -160*a(n-46) +116*a(n-47) +114*a(n-48) +44*a(n-49) +8*a(n-50)

A240653 Number of nX5 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

Original entry on oeis.org

1, 6, 43, 352, 2456, 16629, 118863, 863435, 6296517, 46082534, 337974465, 2482292322, 18247326003, 134198700821, 987225183085, 7263640120506, 53448292499747, 393312676324283, 2894385928048833, 21300183245716512

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 5 of A240656

			Some solutions for n=4
..0..0..1..1..0....0..0..0..0..0....0..1..1..1..1....0..1..1..0..0
..0..0..1..1..1....0..0..0..1..0....1..1..1..1..1....1..1..1..0..0
..1..1..0..1..1....0..1..0..0..0....1..1..0..1..1....1..1..1..0..0
..1..1..1..1..0....0..0..0..0..0....1..1..1..1..1....0..1..1..0..0

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

A240654 Number of nX6 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

Original entry on oeis.org

1, 10, 136, 1545, 16629, 184819, 2076117, 23697768, 272201307, 3137010024, 36217287513, 418547014847, 4839698233313, 55979951123885, 647628362479276, 7493125930415564, 86701026167433662, 1003225793066345318

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 6 of A240656

			Some solutions for n=4
..0..0..1..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..1..1..0..1..1
..0..0..0..0..0..0....0..0..0..0..1..0....0..1..1..0..0..0....1..1..1..1..1..1
..0..0..0..0..0..0....0..0..0..1..0..0....0..1..1..0..1..0....1..1..1..1..0..0
..0..0..1..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0....0..1..1..1..0..0

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

A240655 Number of n X 7 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

Original entry on oeis.org

1, 21, 402, 7154, 118863, 2076117, 37066859, 666849212, 12062165754, 218944306666, 3980414427158, 72424065007263, 1318344476372801, 24003514023779867, 437093903871650760, 7959828410582705257

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 7 of A240656.

			Some solutions for n=4
..0..0..0..0..0..0..1....0..1..1..1..1..1..1....0..0..0..1..0..0..0
..0..0..1..0..0..0..0....1..1..0..1..0..0..1....0..0..0..0..0..0..0
..0..0..0..1..0..0..0....1..1..1..1..0..0..1....0..1..0..1..0..0..0
..0..0..0..0..0..0..0....0..1..1..1..1..1..1....0..0..0..0..0..0..1

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

Cf. A240656.

A240650 Number of n X n 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

Original entry on oeis.org

1, 2, 9, 91, 2456, 184819, 37066859, 18940533171, 24272278810439, 77660940030730106

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Diagonal of A240656

			Some solutions for n=4
..0..0..0..0....0..0..0..1....0..0..1..1....0..1..0..0....0..0..0..1
..0..1..0..0....0..0..0..0....0..0..1..1....1..0..0..0....0..0..0..0
..0..0..1..0....0..1..0..0....0..0..0..0....0..0..1..0....0..0..0..0
..1..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....1..0..0..0

cp's OEIS Frontend

A240651 Number of nX3 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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A240652 Number of nX4 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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A240653 Number of nX5 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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A240654 Number of nX6 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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A240655 Number of n X 7 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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A240650 Number of n X n 0..1 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..1 introduced in row major order.

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