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A208303 Number of 3 X n nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal or antidiagonal neighbor (colorings ignoring permutations of colors). 2

%I #7 May 18 2020 19:56:36

%S 1,5,52,2906,373780,87852626,33093356640,18383354934430,

%T 14216420560211868,14670987603972303070,19558496205580909812744,

%U 32828323774419481541135978,67939294184199439807451132308,170381709310740181061939305134514,510275358861788633812686061715278224

%N Number of 3 X n nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal or antidiagonal neighbor (colorings ignoring permutations of colors).

%H Andrew Howroyd, <a href="/A208303/b208303.txt">Table of n, a(n) for n = 0..100</a>

%e Some solutions for n=4:

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

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

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

%Y Row 3 of A208301.

%K nonn

%O 0,2

%A _R. H. Hardin_, Feb 25 2012

%E a(0)=1 prepended and terms a(10) and beyond from _Andrew Howroyd_, May 18 2020

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Last modified May 4 00:44 EDT 2024. Contains 372225 sequences. (Running on oeis4.)