A218823 - OEIS

%I #4 Nov 06 2012 18:08:31

%S 1,2,2,4,11,4,7,35,35,7,12,108,195,108,12,21,337,1028,1028,337,21,37,

%T 1049,5529,8961,5529,1049,37,65,3268,29593,80692,80692,29593,3268,65,

%U 114,10179,158648,720305,1229783,720305,158648,10179,114,200,31707,850155

%N T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any king-move neighbor in a random 0..2 nXk array

%C Table starts

%C ...1......2........4.........7.........12..........21..........37...........65

%C ...2.....11.......35.......108........337........1049........3268........10179

%C ...4.....35......195......1028.......5529.......29593......158648.......850155

%C ...7....108.....1028......8961......80692......720305.....6449353.....57696032

%C ..12....337.....5529.....80692....1229783....18519049...280040904...4229571209

%C ..21...1049....29593....720305...18519049...468783431.11931365309.303182474797

%C ..37...3268...158648...6449353..280040904.11931365309

%C ..65..10179...850155..57696032.4229571209

%C .114..31707..4556371.516297052

%C .200..98764.24418812

%C .351.307641

%C .616

%H R. H. Hardin, <a href="/A218823/b218823.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A005251(n+2)

%Y Column 2 is A052550(n+1)

%Y Column 3 is A184200(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 06 2012