A219421 - OEIS

%I #4 Nov 19 2012 17:51:36

%S 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 3617,2043,616,1,65,1292,9926,28154,28888,9573,1897,1,114,3676,46776,

%U 218838,372560,230726,44857,5842,1,200,10452,220655,1709703,4775307

%N 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 Table starts

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

%C .1......7........20..........57............160...............454

%C .1.....21........93.........453...........2121..............9926

%C .1.....65.......436........3617..........28154............218838

%C .1....200......2043.......28888.........372560...........4775307

%C .1....616......9573......230726........4934366.........104434119

%C .1...1897.....44857.....1842766.......65352789........2284814260

%C .1...5842....210190....14717828......865523957.......49979133672

%C .1..17991....984904...117548611....11462977378.....1093274545336

%C .1..55405...4615043...938839259...151815415029....23915155162485

%C .1.170625..21625074..7498337380..2010639231109...523138192294728

%C .1.525456.101330329.59887849061.26628853182336.11443519356879492

%H R. H. Hardin, <a href="/A219421/b219421.txt">Table of n, a(n) for n = 1..178</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A218836

%Y Column 3 is A218837

%Y Column 4 is A218838

%Y Row 1 is A005251(n+2)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Nov 19 2012