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A275223 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. 1

%I #4 Jul 20 2016 18:24:41

%S 5,36,61,187,648,2282,8134,29027,103456,368889,1315431,4690476,

%T 16725240,59638892,212660009,758302172,2703951339,9641739667,

%U 34380480348,122593793026,437144505226,1558768299519,5558250385696,19819589184889

%N Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.

%C Column 3 of A275228.

%H R. H. Hardin, <a href="/A275223/b275223.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +5*a(n-2) -10*a(n-3) -a(n-4) -10*a(n-5) +21*a(n-6) -4*a(n-7) -4*a(n-8) +a(n-9) for n>13

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275228.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2016

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Last modified August 12 14:21 EDT 2024. Contains 375113 sequences. (Running on oeis4.)