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A284222 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero. 14
1, 2, 2, 3, 6, 4, 6, 13, 19, 8, 10, 44, 70, 62, 16, 19, 143, 499, 467, 212, 32, 33, 495, 3214, 6511, 3224, 751, 64, 62, 1746, 22729, 85887, 91260, 23218, 2719, 128, 112, 6399, 163708, 1214427, 2417194, 1317770, 170155, 10002, 256, 212, 23776, 1209005 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...1.....2.......3..........6............10..............19.................33
...2.....6......13.........44...........143.............495...............1746
...4....19......70........499..........3214...........22729.............163708
...8....62.....467.......6511.........85887.........1214427...........17538010
..16...212....3224......91260.......2417194........68272108.........1970768869
..32...751...23218....1317770......69938626......3945536189.......227677212684
..64..2719..170155...19371893....2058141264....232036495984.....26772321109067
.128.10002.1264605..288303232...61304713234..13815034342734...3187484402643589
.256.37258.9488108.4330336770.1842647045686.830095968128023.383012404461341362
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..1. .0..1..0..1. .0..0..1..1. .0..1..1..1. .0..1..1..1
..0..0..0..1. .0..0..1..1. .1..0..0..0. .0..0..1..0. .0..0..0..1
..1..1..0..1. .0..1..0..1. .1..0..1..1. .1..1..0..1. .1..1..0..0
..0..0..1..0. .1..0..0..1. .0..1..1..1. .0..1..0..0. .1..0..1..0
CROSSREFS
Column 1 is A000079(n-1).
Row 1 is A274160(n+1).
Sequence in context: A254947 A185810 A015050 * A207623 A116447 A137757
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 23 2017
STATUS
approved

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Last modified April 24 14:09 EDT 2024. Contains 371960 sequences. (Running on oeis4.)