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A238287 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors 6
4, 16, 16, 50, 204, 50, 144, 1844, 1844, 144, 422, 13948, 42084, 13948, 422, 1268, 105862, 737366, 737366, 105862, 1268, 3823, 850420, 12926271, 27913368, 12926271, 850420, 3823, 11472, 6953993, 245920800, 1058583000, 1058583000, 245920800 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......4.........16.............50................144.................422

.....16........204...........1844..............13948..............105862

.....50.......1844..........42084.............737366............12926271

....144......13948.........737366...........27913368..........1058583000

....422.....105862.......12926271.........1058583000.........87389474502

...1268.....850420......245920800........44441926832.......8155057418133

...3823....6953993.....4810332239......1931022884277.....790756782942944

..11472...56279542....92790334588.....82508389421874...75089860262272452

..34350..451637564..1767175335274...3470891253761820.7004416705370946171

.102896.3624058880.33631393265283.145872518046542058

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7)

k=2: [order 25]

EXAMPLE

Some solutions for n=3 k=4

..0..2..2..1..1....2..2..1..0..0....0..2..2..0..0....0..0..2..2..0

..0..2..2..1..0....0..0..0..0..0....0..2..2..0..0....0..0..2..2..0

..1..2..2..2..0....0..0..0..1..1....1..3..3..2..0....0..2..2..3..3

..1..2..2..2..1....2..2..0..3..3....1..3..3..3..0....2..3..3..3..3

CROSSREFS

Column 1 is A203094(n+1)

Sequence in context: A224050 A224281 A224204 * A223811 A223762 A223850

Adjacent sequences:  A238284 A238285 A238286 * A238288 A238289 A238290

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 22 2014

STATUS

approved

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Last modified August 8 21:32 EDT 2022. Contains 356016 sequences. (Running on oeis4.)