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A198718 Number of nX3 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor 2

%I #5 Mar 31 2012 12:36:35

%S 2,34,2027,232841,34003792,5315840795,846047363854,135284283124811,

%T 21658679381667910,3468618095206638077,555543217744635684040,

%U 88979288917879960297469,14251565534424509235823960

%N Number of nX3 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor

%C Column 3 of A198723

%H R. H. Hardin, <a href="/A198718/b198718.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 234*a(n-1) -13497*a(n-2) +283640*a(n-3) -2626919*a(n-4) +12277210*a(n-5) -30282843*a(n-6) +38629620*a(n-7) -23115780*a(n-8) +4848336*a(n-9)

%e Some solutions with all values 0 to 6 for n=4

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

%e ..3..0..4....3..0..3....3..4..3....3..2..0....3..4..5....2..3..4....3..4..5

%e ..5..3..5....4..5..2....4..5..6....4..5..3....5..6..4....1..0..5....4..6..4

%e ..2..6..2....2..0..6....5..1..5....1..6..0....0..5..1....6..2..4....3..4..6

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 29 2011

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Last modified September 16 16:39 EDT 2024. Contains 375976 sequences. (Running on oeis4.)