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A221062 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 nXk array 6

%I #4 Dec 31 2012 06:38:11

%S 1,2,1,4,8,1,8,37,32,1,16,172,323,128,1,32,771,3322,2735,512,1,64,

%T 3392,29939,58710,22683,2048,1,128,14569,254900,1016831,989020,185563,

%U 8192,1,256,61210,2080204,16715282,33166449,16261308,1503659,32768,1,512,252491

%N T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 nXk array

%C Table starts

%C .1.....2.......4........8.......16.......32......64......128....256.512

%C .1.....8......37......172......771.....3392...14569....61210.252491

%C .1....32.....323.....3322....29939...254900.2080204.16745866

%C .1...128....2735....58710..1016831.16715282

%C .1...512...22683...989020.33166449

%C .1..2048..185563.16261308

%C .1..8192.1503659

%C .1.32768

%C .1

%H R. H. Hardin, <a href="/A221062/b221062.txt">Table of n, a(n) for n = 1..48</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is A004171(n-1)

%Y Row 1 is A000079(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 31 2012

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)