A238287 -id:A238287 - cp's OEIS frontend

A238282 Number of (n+1)X(2+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

16, 204, 1844, 13948, 105862, 850420, 6953993, 56279542, 451637564, 3624058880, 29149448933, 234656231134, 1888292962943, 15189590878387, 122183775722351, 982931386549726, 7907698617955660, 63616689428833346, 511782089100478490

Offset: 1

R. H. Hardin, Feb 22 2014

nonn

Column 2 of A238287

			Some solutions for n=5
..3..3..0....3..3..2....1..1..1....1..1..0....2..2..0....3..3..1....3..3..3
..1..1..0....2..2..2....1..1..1....1..1..0....0..0..0....3..3..1....1..2..2
..0..1..1....1..1..0....1..1..0....3..3..0....0..0..0....2..2..1....1..2..2
..0..3..3....0..0..0....1..1..0....2..2..0....0..3..3....1..1..0....2..2..1
..2..2..1....0..0..0....3..3..0....2..2..0....0..1..1....1..1..0....2..2..1
..2..2..1....2..2..0....3..3..2....2..2..2....0..1..1....3..3..2....2..2..1

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

Empirical: a(n) = 10*a(n-1) -39*a(n-2) +185*a(n-3) -107*a(n-4) +907*a(n-5) +577*a(n-6) +1691*a(n-7) -223*a(n-8) -2043*a(n-9) -4899*a(n-10) -7123*a(n-11) -255*a(n-12) +10972*a(n-13) +9211*a(n-14) -2698*a(n-15) -7428*a(n-16) -2381*a(n-17) +1946*a(n-18) +1556*a(n-19) +67*a(n-20) -283*a(n-21) -88*a(n-22) +9*a(n-23) +8*a(n-24) +a(n-25)

A238283 Number of (n+1) X (3+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

50, 1844, 42084, 737366, 12926271, 245920800, 4810332239, 92790334588, 1767175335274, 33631393265283, 642245437813719, 12282485000914102, 234784249649799771, 4485361687341554225, 85682498512887615932

Offset: 1

R. H. Hardin, Feb 22 2014

nonn

Column 3 of A238287.

			Some solutions for n=3
..1..2..2..2....2..3..3..1....0..1..1..0....0..1..2..2....3..3..3..3
..0..1..2..2....1..2..2..0....0..1..1..0....0..1..2..2....1..1..1..1
..0..1..2..2....0..2..2..0....1..3..3..0....3..3..2..2....1..1..1..0
..1..1..3..3....0..3..3..1....1..3..3..0....3..3..2..2....1..1..1..0

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

Cf. A238287.

A238284 Number of (n+1)X(4+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

144, 13948, 737366, 27913368, 1058583000, 44441926832, 1931022884277, 82508389421874, 3470891253761820, 145872518046542058, 6155861335428543193, 260232903353528638680, 10995149731230961462745, 464237140754455444786421

Offset: 1

R. H. Hardin, Feb 22 2014

nonn

Column 4 of A238287

			Some solutions for n=2
..0..1..3..3..3....1..3..3..3..3....0..2..3..3..3....0..0..2..2..0
..0..1..1..3..3....0..2..2..2..1....0..1..2..2..2....0..0..0..0..0
..1..1..1..3..3....0..2..2..2..1....1..1..2..2..2....1..1..0..0..0

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

A238285 Number of (n+1)X(5+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

422, 105862, 12926271, 1058583000, 87389474502, 8155057418133, 790756782942944, 75089860262272452, 7004416705370946171, 653041012099727601632, 61178043367269083858961, 5741681272912802081072135

Offset: 1

R. H. Hardin, Feb 22 2014

nonn

Column 5 of A238287

			Some solutions for n=2
..2..2..2..3..3..3....3..3..2..0..2..2....0..0..0..2..2..0....2..2..1..1..0..0
..0..2..2..1..1..1....3..3..1..0..1..1....0..0..0..2..2..0....0..1..1..1..0..0
..0..3..3..1..1..1....3..3..1..1..1..1....0..2..3..3..2..2....0..1..3..3..3..2

R. H. Hardin, Table of n, a(n) for n = 1..162

A238286 Number of (n+1)X(6+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

Original entry on oeis.org

1268, 850420, 245920800, 44441926832, 8155057418133, 1730677620863096, 383234474966286275, 82717973078216789142, 17493177554060762019050, 3699163393647454115175243, 786647310980989762790259895

Offset: 1

R. H. Hardin, Feb 22 2014

nonn

Column 6 of A238287

			Some solutions for n=1
..3..3..1..2..3..3..1....1..2..3..3..2..3..3....2..2..2..0..0..0..0
..3..3..1..2..3..3..1....1..2..3..3..2..3..3....2..2..2..0..0..0..0

R. H. Hardin, Table of n, a(n) for n = 1..51

cp's OEIS Frontend

A238282 Number of (n+1)X(2+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

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A238283 Number of (n+1) X (3+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

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A238284 Number of (n+1)X(4+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

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A238285 Number of (n+1)X(5+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

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A238286 Number of (n+1)X(6+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors.

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