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 A219299 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..2 nXk array 8
 3, 3, 3, 6, 7, 6, 10, 17, 17, 10, 15, 35, 77, 35, 15, 21, 62, 261, 261, 62, 21, 28, 103, 800, 1540, 800, 103, 28, 36, 165, 2361, 8424, 8424, 2361, 165, 36, 45, 257, 6647, 42938, 80488, 42938, 6647, 257, 45, 55, 390, 17675, 204842, 696879, 696879, 204842, 17675 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..3....3......6........10..........15...........21............28............36 ..3....7.....17........35..........62..........103...........165...........257 ..6...17.....77.......261.........800.........2361..........6647.........17675 .10...35....261......1540........8424........42938........204842........912956 .15...62....800......8424.......80488.......696879.......5595137......42137183 .21..103...2361.....42938......696879.....10000720.....132409292....1666872519 .28..165...6647....204842.....5595137....132409292....2898775988...61440315340 .36..257..17675....912956....42137183...1666872519...61440315340.2236908145276 .45..390..44508...3824676...299422108..20066430819.1268571836942 .55..577.106958..15209685..2021265987.230659006886 .66..833.246970..57837351.13038610049 .78.1175.550538.211203417 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..2....0..0..0..2....1..1..1..1....0..0..0..2....1..0..0..1 ..0..0..2..2....0..0..0..0....1..1..1..2....0..0..1..2....0..0..0..1 ..0..2..2..2....1..0..0..0....1..1..2..2....0..0..2..2....0..0..1..1 CROSSREFS Column 1 is (n^2+n)/2 for n>1 Sequence in context: A177821 A166273 A244482 * A219595 A219173 A058675 Adjacent sequences: A219296 A219297 A219298 * A219300 A219301 A219302 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 17 2012 STATUS approved

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Last modified November 29 20:40 EST 2023. Contains 367447 sequences. (Running on oeis4.)