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A219704 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array 7
2, 2, 2, 3, 3, 3, 4, 5, 5, 4, 5, 7, 13, 7, 5, 6, 9, 25, 25, 9, 6, 7, 11, 45, 64, 45, 11, 7, 8, 13, 78, 158, 158, 78, 13, 8, 9, 15, 130, 374, 518, 374, 130, 15, 9, 10, 17, 208, 841, 1648, 1648, 841, 208, 17, 10, 11, 19, 320, 1789, 5007, 6976, 5007, 1789, 320, 19, 11, 12, 21, 475 (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...5.....7......9.......11........13..........15...........17

..3..5..13....25.....45.......78.......130.........208..........320

..4..7..25....64....158......374.......841........1789.........3619

..5..9..45...158....518.....1648......5007.......14438........39672

..6.11..78...374...1648.....6976.....28224......109313.......406229

..7.13.130...841...5007....28224....154731......826518......4288588

..8.15.208..1789..14438...109313....826518.....6221117.....45999310

..9.17.320..3619..39672...406229...4288588....45999310....488520098

.10.19.475..7008.104598..1455051..21496147...327930272...4982631878

.11.21.683.13059.266066..5040870.103865903..2238332926..48341417799

.12.23.955.23510.654865.16907432.483620093.14638402213.447478385748

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for n=3 k=4

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

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

CROSSREFS

Sequence in context: A120187 A029062 A219502 * A253144 A265410 A029249

Adjacent sequences:  A219701 A219702 A219703 * A219705 A219706 A219707

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 25 2012

STATUS

approved

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Last modified July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)