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 A204700 Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order 1

%I

%S 4,96,1417,22869,362020,5767683,91733605,1459710274,23224443905,

%T 369522237415,5879375305236,93545539546075,1488382733670257,

%U 23681339437114202,376788704103588493,5995004229216188035

%N Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..2 introduced in row major order

%C Column 3 of A204705

%H R. H. Hardin, <a href="/A204700/b204700.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +117*a(n-2) -24*a(n-3) -1482*a(n-4) +884*a(n-5) +6805*a(n-6) -7217*a(n-7) +875*a(n-8) -9444*a(n-9) +23926*a(n-10) -157560*a(n-11) +235676*a(n-12) +268960*a(n-13) -735296*a(n-14) +199456*a(n-15) +747264*a(n-16) -760384*a(n-17) -340800*a(n-18) +784192*a(n-19) -38208*a(n-20) -346880*a(n-21) +138880*a(n-22) +50176*a(n-23) -91904*a(n-24) +17408*a(n-25) +25600*a(n-26) -8192*a(n-27) -4096*a(n-28) for n>31

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 18 2012

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Last modified March 26 23:26 EDT 2023. Contains 361553 sequences. (Running on oeis4.)