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A219421 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nXk array.

%I A219421 #6 Jul 23 2025 00:26:39
%S A219421 1,2,1,4,7,1,7,20,21,1,12,57,93,65,1,21,160,453,436,200,1,37,454,2121,
%T A219421 3617,2043,616,1,65,1292,9926,28154,28888,9573,1897,1,114,3676,46776,
%U A219421 218838,372560,230726,44857,5842,1,200,10452,220655,1709703,4775307
%N A219421 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nXk array.
%C A219421 Table starts
%C A219421 .1......2.........4...........7.............12................21
%C A219421 .1......7........20..........57............160...............454
%C A219421 .1.....21........93.........453...........2121..............9926
%C A219421 .1.....65.......436........3617..........28154............218838
%C A219421 .1....200......2043.......28888.........372560...........4775307
%C A219421 .1....616......9573......230726........4934366.........104434119
%C A219421 .1...1897.....44857.....1842766.......65352789........2284814260
%C A219421 .1...5842....210190....14717828......865523957.......49979133672
%C A219421 .1..17991....984904...117548611....11462977378.....1093274545336
%C A219421 .1..55405...4615043...938839259...151815415029....23915155162485
%C A219421 .1.170625..21625074..7498337380..2010639231109...523138192294728
%C A219421 .1.525456.101330329.59887849061.26628853182336.11443519356879492
%H A219421 R. H. Hardin, <a href="/A219421/b219421.txt">Table of n, a(n) for n = 1..178</a>
%e A219421 Some solutions for n=3 k=4
%e A219421 ..1..0..0..1....0..0..1..0....1..1..0..0....1..1..0..0....1..0..0..1
%e A219421 ..0..1..1..1....0..0..0..0....0..0..1..1....0..0..0..0....1..0..0..0
%e A219421 ..1..1..1..1....1..0..1..1....0..0..0..0....0..0..0..0....1..0..0..0
%Y A219421 Column 2 is A218836
%Y A219421 Column 3 is A218837
%Y A219421 Column 4 is A218838
%Y A219421 Row 1 is A005251(n+2)
%K A219421 nonn,tabl
%O A219421 1,2
%A A219421 _R. H. Hardin_ Nov 19 2012