A275270 - OEIS

%I #4 Jul 21 2016 11:37:59

%S 122,476,5676,73012,1020324,14005180,194398028,2686400148,37200327664,

%T 514676494036,7123566240956,98578693085116,1364279138577040,

%U 18880263421570580,261288143644476120,3615999105798657888

%N Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2.

%C Row 6 of A275266.

%H R. H. Hardin, <a href="/A275270/b275270.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) +3*a(n-2) -370*a(n-3) +1735*a(n-4) -3994*a(n-5) +4671*a(n-6) -5557*a(n-7) +17662*a(n-8) -35794*a(n-9) -70438*a(n-10) +88858*a(n-11) +82464*a(n-12) +406924*a(n-13) +235375*a(n-14) +163182*a(n-15) -71035*a(n-16) -197836*a(n-17) -137928*a(n-18) -51312*a(n-19) +39632*a(n-20) +35968*a(n-21) +19456*a(n-22) -6144*a(n-23) -4096*a(n-24) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A275266.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 21 2016