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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

%I

%S 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,

%T 78,158,158,78,13,8,9,15,130,374,518,374,130,15,9,10,17,208,841,1648,

%U 1648,841,208,17,10,11,19,320,1789,5007,6976,5007,1789,320,19,11,12,21,475

%N 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

%C Table starts

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

%C ..2..3...5.....7......9.......11........13..........15...........17

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

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

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

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

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

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

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

%C .10.19.475..7008.104598..1455051..21496147...327930272...4982631878

%C .11.21.683.13059.266066..5040870.103865903..2238332926..48341417799

%C .12.23.955.23510.654865.16907432.483620093.14638402213.447478385748

%H R. H. Hardin, <a href="/A219704/b219704.txt">Table of n, a(n) for n = 1..220</a>

%e Some solutions for n=3 k=4

%e ..0..0..0..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..1..1..1..1....0..0..0..1....0..0..0..0....0..1..1..1....1..1..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 25 2012

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Last modified January 25 23:08 EST 2020. Contains 331270 sequences. (Running on oeis4.)