A275086 - OEIS

%I #4 Jul 16 2016 09:19:51

%S 6,96,508,3088,18440,111900,675600,4094240,24794560,150165020,

%T 909361668,5507667148,33356744732,202019640344,1223500857956,

%U 7410005643024,44877800876060,271796556988084,1646101595999968,9969411699754184

%N Number of nX4 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

%C Column 4 of A275090.

%H R. H. Hardin, <a href="/A275086/b275086.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +8*a(n-2) +46*a(n-3) +133*a(n-4) -64*a(n-5) -492*a(n-6) -520*a(n-7) +568*a(n-8) -1592*a(n-9) +1156*a(n-10) +1328*a(n-11) -4992*a(n-12) +1440*a(n-13) +3456*a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275090.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 16 2016