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A276249 Number of 3 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-2) and new values introduced in order 0..2. 1

%I #6 Jun 07 2021 13:37:11

%S 5,36,85,279,900,2837,9148,29570,95102,306540,989092,3188130,10278456,

%T 33146672,106872610,344585885,1111106822,3582609009,11551580944,

%U 37246820838,120097695423,387239261828,1248605509417,4025972358284

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

%C Row 3 of A276248.

%H R. H. Hardin, <a href="/A276249/b276249.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +8*a(n-3) -10*a(n-4) -21*a(n-5) +17*a(n-7) +12*a(n-8) -17*a(n-9) +2*a(n-10) +3*a(n-11) +3*a(n-12) -a(n-14) for n>15.

%e Some solutions for n=4

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

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

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

%Y Cf. A276248.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 25 2016

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Last modified April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)