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A208868 Number of nX4 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors 1

%I #5 Mar 31 2012 12:37:25

%S 15,1798,307165,52947540,9130195864,1574432811027,271499374919883,

%T 46818078167209471,8073434644321782464,1392204668383719239473,

%U 240075497495975972163390,41399261047580372916745574

%N Number of nX4 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Column 4 of A208872

%H R. H. Hardin, <a href="/A208868/b208868.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 198*a(n-1) -4637*a(n-2) +40574*a(n-3) -164314*a(n-4) +321776*a(n-5) -281785*a(n-6) +85300*a(n-7) -8100*a(n-8) for n>9

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 02 2012

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)