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T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 n X k array.
12

%I #7 Apr 17 2022 22:27:54

%S 4,4,16,16,28,64,36,268,192,256,94,708,4328,956,1024,236,4766,24934,

%T 68212,5494,4096,602,15724,354706,548130,1094438,30888,16384,1528,

%U 88434,2715804,21154028,14683998,17553448,172038,65536,3882,331024,31659166

%N T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 n X k array.

%C Table starts

%C .......4........4..........16...........36............94...........236

%C ......16.......28.........268..........708..........4766.........15724

%C ......64......192........4328........24934........354706.......2715804

%C .....256......956.......68212.......548130......21154028.....252705768

%C ....1024.....5494.....1094438.....14683998....1383229596...30118695378

%C ....4096....30888....17553448....380208068...89823059958.3442732323766

%C ...16384...172038...281649154...9770273902.5844655062086

%C ...65536...964828..4519836612.252723391836

%C ..262144..5400158.72535767418

%C .1048576.30225794

%C .4194304

%H R. H. Hardin, <a href="/A220761/b220761.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=3, k=4

%e ..0..0..0..0....1..1..1..1....0..0..1..1....1..2..0..1....0..0..0..0

%e ..0..1..0..0....3..0..2..1....2..0..1..1....1..1..0..0....0..2..0..0

%e ..2..1..0..0....0..0..2..3....1..1..3..2....1..2..0..3....2..3..0..0

%Y Column 1 is A000302.

%Y Column 2 is A218175.

%Y Row 1 is A218051.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 19 2012

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Last modified September 20 17:28 EDT 2024. Contains 376075 sequences. (Running on oeis4.)