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A218765 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nXk array.

%I A218765 #6 Jul 23 2025 00:03:59
%S A218765 1,2,2,4,6,4,7,18,18,7,12,47,90,47,12,21,134,403,403,134,21,37,373,
%T A218765 1876,2942,1876,373,37,65,1035,8697,22439,22439,8697,1035,65,114,2889,
%U A218765 40383,170148,280850,170148,40383,2889,114,200,8050,187413,1291662,3488015
%N A218765 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nXk array.
%C A218765 Table starts
%C A218765 ...1......2........4...........7............12.............21.............37
%C A218765 ...2......6.......18..........47...........134............373...........1035
%C A218765 ...4.....18.......90.........403..........1876...........8697..........40383
%C A218765 ...7.....47......403........2942.........22439.........170148........1291662
%C A218765 ..12....134.....1876.......22439........280850........3488015.......43403573
%C A218765 ..21....373.....8697......170148.......3488015.......70915451.....1444700004
%C A218765 ..37...1035....40383.....1291662......43403573.....1444700004....48186998294
%C A218765 ..65...2889...187413.....9807350.....540089167....29426750811..1606766223984
%C A218765 .114...8050...869598....74441043....6717643958...599056249102.53537060426191
%C A218765 .200..22420..4035492...565067801...83563261332.12196183065261
%C A218765 .351..62477.18727387..4289417212.1039486332867
%C A218765 .616.174072.86907272.32560993753
%H A218765 R. H. Hardin, <a href="/A218765/b218765.txt">Table of n, a(n) for n = 1..127</a>
%e A218765 Some solutions for n=3 k=4
%e A218765 ..0..0..1..1....0..0..1..0....1..1..1..1....1..0..0..0....0..0..0..0
%e A218765 ..0..0..0..1....0..1..0..0....1..0..0..0....0..0..1..0....0..0..1..0
%e A218765 ..1..0..0..1....1..1..0..0....0..0..0..0....0..1..0..0....0..0..0..0
%Y A218765 Column 1 is A005251(n+2)
%K A218765 nonn,tabl
%O A218765 1,2
%A A218765 _R. H. Hardin_ Nov 05 2012