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A275353 Number of 3Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2. 1

%I

%S 5,54,288,1536,8192,43712,235072,1264832,6809856,36666496,197447168,

%T 1063304448,5726352128,30839264512,166086172928,894467665408,

%U 4817222467584,25943536156672,139721052861440,752479440667648

%N Number of 3Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

%C Row 3 of A275352.

%H R. H. Hardin, <a href="/A275353/b275353.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -2*a(n-2) -8*a(n-3) +20*a(n-4) -44*a(n-5) -160*a(n-6) -180*a(n-7) +152*a(n-8) -880*a(n-9) -928*a(n-10) +848*a(n-11) +816*a(n-12) +2752*a(n-13) +2880*a(n-14) +2560*a(n-15) -2048*a(n-16) -4096*a(n-18) for n>20

%e Some solutions for n=4

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

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

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

%Y Cf. A275352.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 24 2016

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Last modified January 25 22:06 EST 2022. Contains 350572 sequences. (Running on oeis4.)