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A197210 Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4. 0

%I #8 Jun 26 2022 20:53:52

%S 1,2,14,221,10210,1130812,322715244,242641943340,469481820661588

%N Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4.

%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 0's.

%C Diagonal of A197217.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A197217.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 11 2011

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Last modified March 28 04:58 EDT 2024. Contains 371235 sequences. (Running on oeis4.)