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A237859 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors 8
2, 4, 4, 7, 14, 7, 12, 41, 41, 12, 21, 114, 184, 114, 21, 37, 325, 773, 773, 325, 37, 65, 943, 3373, 4826, 3373, 943, 65, 114, 2731, 15038, 31651, 31651, 15038, 2731, 114, 200, 7876, 66838, 213165, 315896, 213165, 66838, 7876, 200, 351, 22702, 295601, 1428967 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....4.......7........12..........21............37..............65

...4....14......41.......114.........325...........943............2731

...7....41.....184.......773........3373.........15038...........66838

..12...114.....773......4826.......31651........213165.........1428967

..21...325....3373.....31651......315896.......3255233........33328972

..37...943...15038....213165.....3255233......51576880.......810629762

..65..2731...66838...1428967....33328972.....810629762.....19525964230

.114..7876..295601...9520138...338653847...12628484789....465620654717

.200.22702.1306735..63406826..3440498469..196722783963..11103987320260

.351.65489.5781785.422805151.35005538562.3069861742669.265336172863532

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..337

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3)

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

k=3: [order 11]

k=4: [order 21]

k=5: [order 46]

k=6: [order 98]

EXAMPLE

Some solutions for n=4 k=4

..1..1..0..1..1....1..1..1..1..1....0..0..1..1..1....1..1..1..1..0

..1..1..0..1..1....1..1..0..0..0....0..0..0..1..1....0..0..1..1..0

..1..1..1..1..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

..0..1..1..1..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

..0..1..1..1..1....1..1..1..1..1....0..0..1..1..1....1..1..1..1..1

CROSSREFS

Column 1 is A005251(n+3)

Sequence in context: A227751 A268995 A205744 * A240338 A227103 A223644

Adjacent sequences:  A237856 A237857 A237858 * A237860 A237861 A237862

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 14 2014

STATUS

approved

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Last modified April 25 00:29 EDT 2019. Contains 322446 sequences. (Running on oeis4.)