A250507 - OEIS

%I #4 Nov 24 2014 10:30:47

%S 19683,300763,300763,4251528,9777655,4251528,59776471,289735900,

%T 289735900,59776471,729000000,8566581775,17751271450,8566581775,

%U 729000000,8316073576,211068335312,1088029714752,1088029714752

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with nondecreasing medians of every three consecutive values in every row and column

%C Table starts

%C .......19683........300763........4251528........59776471......729000000

%C ......300763.......9777655......289735900......8566581775...211068335312

%C .....4251528.....289735900....17751271450...1088029714752.53509194753023

%C ....59776471....8566581775..1088029714752.138575157528960

%C ...729000000..211068335312.53509194753023

%C ..8316073576.4788105206370

%C .92959677000

%H R. H. Hardin, <a href="/A250507/b250507.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=1 k=4

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

%e ..1..0..2..1..0..2....1..1..1..1..0..1....0..2..0..0..0..1....0..2..1..0..1..2

%e ..0..2..0..2..2..0....0..1..2..1..1..0....0..1..1..1..0..1....1..2..1..1..2..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Nov 24 2014