A203542 -id:A203542 - cp's OEIS frontend

A203536 Number of nX2 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

0, 4, 4, 16, 64, 196, 676, 2304, 7744, 26244, 88804, 300304, 1016064, 3437316, 11628100, 39337984, 133079296, 450203524, 1523028676, 5152368400, 17430336576, 58966408900, 199481929956, 674842534144, 2282975946304, 7723252297476

Offset: 1

R. H. Hardin Jan 02 2012

nonn

Column 2 of A203542

(A135491(n-2))^2 for n>=3

			Some solutions for n=5
..0..1....1..1....0..0....1..0....0..0....0..1....0..0....0..1....1..0....1..1
..0..1....0..0....1..1....1..0....1..1....0..1....1..1....0..1....1..0....0..0
..2..1....1..2....1..2....0..2....2..0....1..2....2..2....0..1....0..0....2..1
..0..0....1..0....0..0....0..1....1..0....1..0....0..0....0..0....0..1....0..1
..1..1....1..0....1..1....0..1....1..0....1..0....1..1....1..1....0..1....0..1

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

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) -a(n-4) -a(n-6)

A203537 Number of nX3 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 4, 72, 144, 1840, 10404, 69920, 490000, 3317120, 22524516, 153723240, 1044840976, 7112904336, 48420242116, 329561076960, 2243249071504, 15269163209664, 103931377966276, 707427841294920, 4815226903450896

Offset: 1

R. H. Hardin Jan 02 2012

nonn

Column 3 of A203542

			Some solutions for n=5
..1..1..2....2..0..0....0..1..2....0..1..0....0..1..1....2..1..0....2..0..1
..0..0..0....1..1..1....0..1..0....0..1..0....0..0..0....0..1..0....1..0..1
..1..2..1....0..1..1....2..1..0....2..2..1....1..0..0....0..0..1....1..2..1
..1..0..1....0..0..0....0..1..0....1..0..1....1..1..1....1..0..1....0..0..0
..2..0..1....1..1..1....0..1..2....1..0..1....0..0..1....1..0..0....2..1..1

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

Empirical: a(n) = 7*a(n-1) -8*a(n-3) -38*a(n-4) +218*a(n-5) +400*a(n-6) -2936*a(n-7) +609*a(n-8) -2791*a(n-9) +4072*a(n-10) +248*a(n-11) -588*a(n-12) +4916*a(n-13) -1912*a(n-14) +8920*a(n-15) -7799*a(n-16) +3393*a(n-17) -5960*a(n-18) -464*a(n-19) -238*a(n-20) +18*a(n-21) -56*a(n-22) -9*a(n-24) -a(n-25)

A203538 Number of nX4 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 16, 144, 3364, 30976, 614656, 8479744, 129504400, 1978826256, 29961532836, 454089995044, 6895434839056, 104626058201344, 1587468792674704, 24091008317030656, 365573436678862864, 5547427717263648804

Offset: 1

R. H. Hardin Jan 02 2012

nonn

Column 4 of A203542

			Some solutions for n=5
..0..0..0..1....2..0..0..1....1..0..0..1....2..1..0..2....2..1..0..1
..1..1..0..1....1..1..0..1....1..0..2..1....0..1..0..1....0..1..0..1
..0..0..2..2....0..1..2..1....1..2..0..0....0..2..1..1....0..0..2..2
..0..0..1..0....0..0..2..0....0..2..1..0....1..0..1..0....1..0..1..0
..1..1..1..0....1..1..1..0....0..1..1..0....1..0..1..0....1..0..1..0

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

A203539 Number of n X 5 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 64, 1840, 30976, 1700580, 46485124, 1680210240, 56191754304, 1898704490980, 64488576908484, 2178774976790208, 73775014607038096, 2496772163852959252, 84495658280798176036, 2859840508384744419504, 96787655134946736339600, 3275732831885874026239020, 110865235815215020663937284

Offset: 1

R. H. Hardin, Jan 02 2012

nonn

			Some solutions for n=5:
..1..0..0..1..1....0..1..2..0..1....2..1..0..0..2....1..1..0..0..0
..1..2..1..0..0....0..1..2..0..1....0..1..1..1..1....0..1..1..1..1
..0..1..1..2..1....2..1..2..0..2....0..1..2..2..0....0..1..2..2..1
..0..2..0..0..1....1..0..0..1..0....0..1..0..1..0....0..0..0..0..0
..1..1..0..0..1....1..0..1..1..0....1..1..0..1..2....1..1..1..1..0

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

Column 5 of A203542.

A203540 Number of nX6 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 196, 10404, 614656, 46485124, 3743237124, 257720706244, 20056281523776, 1492411644481536, 112070612773938064, 8426586286656023616, 632681292075367516804, 47524857928919914127524, 3570176077491731508417600

Offset: 1

R. H. Hardin Jan 02 2012

nonn

Column 6 of A203542

			Some solutions for n=5
..2..1..0..2..0..0....2..0..0..0..1..1....2..0..0..0..0..0....0..0..0..1..1..0
..0..1..0..1..1..1....1..1..1..1..2..0....1..1..1..1..1..1....1..1..2..0..1..0
..0..2..2..0..1..2....0..1..2..0..0..0....0..2..0..2..1..1....0..2..2..0..1..1
..1..0..1..0..1..0....0..2..0..1..1..1....0..0..0..0..0..0....0..0..1..2..0..1
..1..0..1..1..1..0....1..1..0..0..0..1....1..1..1..1..1..0....1..1..1..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..73

A203541 Number of nX7 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 676, 69920, 8479744, 1680210240, 257720706244, 44312000955508, 7260263864381124, 1226995111990493792, 204147560099024833600, 34127708705716358062368, 5703975087798515553780804

Offset: 1

R. H. Hardin Jan 02 2012

nonn

Column 7 of A203542

			Some solutions for n=5
..1..0..1..2..1..0..1....0..0..2..0..1..0..0....1..1..0..0..2..1..1
..1..0..1..0..1..0..1....1..1..1..0..1..2..1....0..0..0..1..2..0..0
..0..2..2..0..2..1..2....2..0..1..0..0..2..1....1..2..2..1..2..1..0
..0..1..2..1..1..1..0....1..0..0..0..0..2..0....1..1..1..0..0..1..1
..1..1..0..0..0..1..0....1..0..2..1..1..1..0....0..0..0..1..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..16

A203535 Number of n X n 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

Original entry on oeis.org

0, 4, 72, 3364, 1700580, 3743237124, 44312000955508, 2752746090434507556, 840982281825673724760300, 1273642755637661083775996170564

Offset: 1

R. H. Hardin, Jan 02 2012

nonn

Diagonal of A203542.

			Some solutions for n=5
..0..1..2..0..1....1..1..0..0..0....2..1..0..0..2....0..0..1..0..1
..0..1..2..0..1....0..2..2..1..1....0..1..2..1..1....1..1..1..0..1
..2..1..2..0..2....0..2..1..0..1....0..1..1..2..0....1..0..1..0..0
..1..0..0..1..0....1..1..1..0..0....1..2..0..2..0....0..0..1..0..1
..1..0..1..1..0....1..0..0..1..1....1..0..0..1..1....2..1..1..0..1

Cf. A203542.

cp's OEIS Frontend

A203536 Number of nX2 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203537 Number of nX3 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203538 Number of nX4 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203539 Number of n X 5 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203540 Number of nX6 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203541 Number of nX7 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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A203535 Number of n X n 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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