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A208389 Number of n X 5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors. 1

%I #8 Jul 02 2018 09:17:50

%S 41,8838,1937736,424785708,93120350760,20413586117376,

%T 4475009970818208,980999326809336384,215051963118734640384,

%U 47143097428659169764096,10334579619442851721032192,2265518002338040963538165760

%N Number of n X 5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.

%C Column 5 of A208392.

%H R. H. Hardin, <a href="/A208389/b208389.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 222*a(n-1) - 612*a(n-2) + 432*a(n-3) for n>4.

%F Empirical g.f.: x*(41 - 264*x + 792*x^2 - 540*x^3) / (1 - 222*x + 612*x^2 - 432*x^3). - _Colin Barker_, Jul 02 2018

%e Some solutions for n=4:

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

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

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

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

%Y Cf. A208392.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2012

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)