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A218823 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.

%I A218823 #6 Jul 23 2025 00:06:24
%S A218823 1,2,2,4,11,4,7,35,35,7,12,108,195,108,12,21,337,1028,1028,337,21,37,
%T A218823 1049,5529,8961,5529,1049,37,65,3268,29593,80692,80692,29593,3268,65,
%U A218823 114,10179,158648,720305,1229783,720305,158648,10179,114,200,31707,850155
%N A218823 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 A218823 Table starts
%C A218823 ...1......2........4.........7.........12..........21..........37...........65
%C A218823 ...2.....11.......35.......108........337........1049........3268........10179
%C A218823 ...4.....35......195......1028.......5529.......29593......158648.......850155
%C A218823 ...7....108.....1028......8961......80692......720305.....6449353.....57696032
%C A218823 ..12....337.....5529.....80692....1229783....18519049...280040904...4229571209
%C A218823 ..21...1049....29593....720305...18519049...468783431.11931365309.303182474797
%C A218823 ..37...3268...158648...6449353..280040904.11931365309
%C A218823 ..65..10179...850155..57696032.4229571209
%C A218823 .114..31707..4556371.516297052
%C A218823 .200..98764.24418812
%C A218823 .351.307641
%C A218823 .616
%H A218823 R. H. Hardin, <a href="/A218823/b218823.txt">Table of n, a(n) for n = 1..84</a>
%e A218823 Some solutions for n=3 k=4
%e A218823 ..0..0..0..0....0..0..0..1....0..0..1..0....0..0..1..0....1..0..0..0
%e A218823 ..0..0..0..0....1..0..0..0....0..0..1..0....1..0..0..1....1..0..0..0
%e A218823 ..0..1..1..0....1..0..0..0....1..0..1..0....1..0..1..0....1..0..0..0
%Y A218823 Column 1 is A005251(n+2)
%Y A218823 Column 2 is A052550(n+1)
%Y A218823 Column 3 is A184200(n-1)
%K A218823 nonn,tabl
%O A218823 1,2
%A A218823 _R. H. Hardin_ Nov 06 2012