A284222 - OEIS

%I #6 Apr 05 2020 20:05:52

%S 1,2,2,3,6,4,6,13,19,8,10,44,70,62,16,19,143,499,467,212,32,33,495,

%T 3214,6511,3224,751,64,62,1746,22729,85887,91260,23218,2719,128,112,

%U 6399,163708,1214427,2417194,1317770,170155,10002,256,212,23776,1209005

%N 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.

%C Table starts

%C ...1.....2.......3..........6............10..............19.................33

%C ...2.....6......13.........44...........143.............495...............1746

%C ...4....19......70........499..........3214...........22729.............163708

%C ...8....62.....467.......6511.........85887.........1214427...........17538010

%C ..16...212....3224......91260.......2417194........68272108.........1970768869

%C ..32...751...23218....1317770......69938626......3945536189.......227677212684

%C ..64..2719..170155...19371893....2058141264....232036495984.....26772321109067

%C .128.10002.1264605..288303232...61304713234..13815034342734...3187484402643589

%C .256.37258.9488108.4330336770.1842647045686.830095968128023.383012404461341362

%H R. H. Hardin, <a href="/A284222/b284222.txt">Table of n, a(n) for n = 1..198</a>

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 1 is A000079(n-1).

%Y Row 1 is A274160(n+1).

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Mar 23 2017