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A219291 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array 7
2, 2, 2, 3, 3, 3, 4, 6, 6, 4, 5, 9, 19, 9, 5, 6, 12, 42, 42, 12, 6, 7, 15, 79, 149, 79, 15, 7, 8, 18, 136, 423, 423, 136, 18, 8, 9, 21, 220, 1092, 1751, 1092, 220, 21, 9, 10, 24, 339, 2623, 6546, 6546, 2623, 339, 24, 10, 11, 27, 502, 5937, 22970, 35654, 22970, 5937, 502, 27 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2..2....3.....4.......5.........6...........7............8............9

..2..3....6.....9......12........15..........18...........21...........24

..3..6...19....42......79.......136.........220..........339..........502

..4..9...42...149.....423......1092........2623.........5937........12729

..5.12...79...423....1751......6546.......22970........76311.......240506

..6.15..136..1092....6546.....35654......185295.......919934......4332241

..7.18..220..2623...22970....185295.....1455308.....11001188.....78655701

..8.21..339..5937...76311....919934....11001188....127423164...1394753542

..9.24..502.12729..240506...4332241....78655701...1394753542..23439798583

.10.27..719.26009..721669..19354356...530818425..14376467589.371292062952

.11.30.1001.50896.2070006..82377686..3400770086.140516840054

.12.33.1360.95774.5692328.335088654.20765160878

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A008486(n-1)

Sequence in context: A081607 A029060 A184258 * A029160 A285582 A032562

Adjacent sequences: A219288 A219289 A219290 * A219292 A219293 A219294

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 17 2012

STATUS

approved

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Last modified November 27 10:37 EST 2022. Contains 358369 sequences. (Running on oeis4.)