A275563 - OEIS

%I #4 Aug 01 2016 21:26:37

%S 24,864,1536,8664,42336,221184,1140576,5880600,30456054,157347846,

%T 813636150,4208095734,21755077350,112508808576,581748762966,

%U 3008229730656,15555575422296,80436769367064,415938351877254

%N Number of nX6 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

%C Column 6 of A275565.

%H R. H. Hardin, <a href="/A275563/b275563.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +18*a(n-2) -43*a(n-3) -174*a(n-4) +312*a(n-5) +789*a(n-6) -1739*a(n-7) -1097*a(n-8) +5171*a(n-9) -1998*a(n-10) -9410*a(n-11) +11413*a(n-12) +12083*a(n-13) -26002*a(n-14) -10656*a(n-15) +37255*a(n-16) +8019*a(n-17) -36716*a(n-18) -8772*a(n-19) +28058*a(n-20) +9837*a(n-21) -18944*a(n-22) -7243*a(n-23) +11224*a(n-24) +2985*a(n-25) -5229*a(n-26) -484*a(n-27) +1725*a(n-28) -126*a(n-29) -363*a(n-30) +74*a(n-31) +45*a(n-32) -13*a(n-33) -3*a(n-34) +a(n-35) for n>37

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275565.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 01 2016