A183554 -id:A183554 - cp's OEIS frontend

A183547 Number of n X 2 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

3, 15, 71, 299, 1325, 5845, 25785, 113841, 502523, 2218399, 9793287, 43233099, 190855613, 842545925, 3719480233, 16419916497, 72486917979, 319998782959, 1412657953559, 6236281512443, 27530519336653, 121535484480133

Offset: 1

R. H. Hardin, Jan 05 2011

nonn

Column 2 of A183554.

			Some solutions for 3 X 2:
..0..0....2..2....1..1....2..2....1..1....0..0....2..1....1..1....0..0....2..2
..1..0....1..2....2..1....0..0....0..1....1..1....2..1....0..0....2..0....0..2
..1..1....1..1....2..1....1..1....0..1....1..1....2..1....1..1....2..0....0..2

R. H. Hardin, Table of n, a(n) for n = 1..200

Cf. A183554.

Empirical: a(n) = 5*a(n-1) - 3*a(n-2) + 4*a(n-3) - 9*a(n-4) - 13*a(n-6) + 8*a(n-7) + 4*a(n-8) + 7*a(n-9) + 2*a(n-10).

Empirical g.f.: x*(3 + 5*x^2 - 23*x^3 + 10*x^4 - 32*x^5 + 17*x^6 + 13*x^7 + 9*x^8 + 10*x^9) / (1 - 5*x + 3*x^2 - 4*x^3 + 9*x^4 + 13*x^6 - 8*x^7 - 4*x^8 - 7*x^9 - 2*x^10). - Colin Barker, Mar 29 2018

A183548 Number of nX3 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

3, 71, 583, 5287, 46841, 417809, 3721925, 33169105, 295565367, 2633809823, 23469955635, 209141864227, 1863672026457, 16607262667561, 147988036529381, 1318727810932497, 11751240682625031, 104715815140064955

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 3 of A183554

			Some solutions for 5X3
..2..2..2....0..0..0....1..1..1....2..2..1....0..2..2....1..1..1....0..0..1
..0..0..0....2..2..0....1..1..1....0..2..1....0..2..1....2..2..0....0..0..1
..0..2..2....2..0..0....1..1..1....0..0..1....2..2..1....2..2..0....2..2..0
..2..1..2....0..0..0....0..2..0....0..0..1....2..2..2....2..0..0....0..2..0
..2..1..1....1..1..0....0..2..0....0..0..1....2..0..0....0..0..0....0..2..2

R. H. Hardin, Table of n, a(n) for n = 1..200

Empirical: a(n)=12*a(n-1)-26*a(n-2)-33*a(n-3)+204*a(n-4)-244*a(n-5)-339*a(n-6)+256*a(n-7)+1324*a(n-8)-559*a(n-9)-4420*a(n-10)+5965*a(n-11)+8096*a(n-12)-10724*a(n-13)-1370*a(n-14)+5054*a(n-15)-15721*a(n-16)+9505*a(n-17)-7190*a(n-18)-20835*a(n-19)+2723*a(n-20)+1324*a(n-21)+2340*a(n-22)+2496*a(n-23)-1996*a(n-24)-452*a(n-25)+2222*a(n-26)+273*a(n-27)-941*a(n-28)+334*a(n-29)-61*a(n-30)-44*a(n-31)+12*a(n-32)

A183549 Number of nX4 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

9, 299, 5287, 95101, 1728533, 31363527, 569461759, 10339213765, 187720469393, 3408294462361, 61881741606489, 1123538699592837, 20399220213631985, 370372813824090515, 6724571832069212589, 122092833670153549855

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 4 of A183554

			Some solutions for 3X4
..2..0..0..0....1..1..1..1....0..0..0..1....1..1..0..0....2..2..2..0
..2..2..0..1....0..1..1..1....2..2..0..1....1..1..0..2....1..2..2..0
..2..0..0..1....0..1..0..0....2..2..0..0....0..0..2..2....1..1..2..2

R. H. Hardin, Table of n, a(n) for n = 1..200

A183550 Number of nX5 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

15, 1325, 46841, 1728533, 63868351, 2359134621, 87176303417, 3221377019429, 119037100116183, 4398697422258081, 162542044954494221, 6006305685720331925, 221946939432242106215, 8201454756620862955585, 303062796878789833114397

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 5 of A183554

			Some solutions for 3X5
..1..1..0..0..1....2..2..2..0..0....0..0..1..1..1....1..1..0..0..0
..0..0..0..0..1....2..2..1..2..2....0..1..0..2..2....0..0..2..0..1
..1..1..0..1..1....0..0..1..1..2....1..1..0..0..2....2..2..2..2..1

R. H. Hardin, Table of n, a(n) for n = 1..200

A183551 Number of nX6 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

33, 5845, 417809, 31363527, 2359134621, 177385265619, 13344696858771, 1003889179688773, 75519989933088273, 5681183354145927001, 427381397089550672209, 32150852268908799128175, 2418629680159299544090603

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 6 of A183554

			Some solutions for 3X6
..0..1..0..1..1..1....0..0..2..2..1..1....0..0..0..2..2..2....0..0..1..1..2..2
..0..1..0..0..1..0....0..2..2..0..2..0....0..0..2..2..1..2....0..1..1..2..2..2
..1..1..0..0..0..0....1..1..2..0..2..0....2..2..0..0..1..1....1..1..1..1..1..1

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

A183552 Number of nX7 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

63, 25785, 3721925, 569461759, 87176303417, 13344696858771, 2043774880960645, 313000943874975793, 47935484320796681363, 7341240634658342843595, 1124298676282804824274345, 172184481387904369618417369

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 7 of A183554

			Some solutions for 3X7
..0..0..1..1..1..1..2....0..0..2..2..2..2..1....0..0..1..0..0..0..2
..0..0..1..0..2..2..2....0..0..0..2..2..1..1....0..0..1..1..1..0..2
..0..0..1..0..2..2..2....0..0..2..2..2..2..2....0..0..0..0..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..18

A183546 Number of n X n 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

0, 15, 583, 95101, 63868351, 177385265619, 2043774880960645, 97587614786720584857

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Diagonal of A183554

			Some solutions for 3X3
..1..1..1....0..1..1....1..1..1....1..1..1....2..0..0....1..1..1....0..0..0
..1..1..0....0..0..1....1..1..1....2..2..1....2..2..0....1..0..0....0..0..2
..1..1..0....0..0..1....1..0..0....0..0..1....1..1..1....0..0..0....2..2..2

A183553 Number of nX8 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

Original entry on oeis.org

129, 113841, 33169105, 10339213765, 3221377019429, 1003889179688773, 313000943874975793, 97587614786720584857

Offset: 1

R. H. Hardin Jan 05 2011

nonn

Column 8 of A183554

			Some solutions for 3X8
..0..0..0..2..2..1..2..2....0..0..0..0..1..0..2..2....0..0..0..1..1..0..0..0
..0..0..0..2..2..1..1..2....0..0..0..1..1..0..0..2....0..0..0..0..0..0..0..0
..0..0..0..2..2..2..1..2....0..0..0..0..1..1..0..0....0..0..0..2..2..2..2..0

cp's OEIS Frontend

A183547 Number of n X 2 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183548 Number of nX3 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183549 Number of nX4 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183550 Number of nX5 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183551 Number of nX6 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183552 Number of nX7 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183546 Number of n X n 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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A183553 Number of nX8 0..2 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors.

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