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A275145 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. 1

%I #4 Jul 17 2016 16:28:52

%S 41,1296,2000,5248,9744,32384,107472,362176,1220752,4108688,13848016,

%T 46763600,158042960,534108640,1804746272,6098041456,20605419360,

%U 69627945984,235280517632,795033992240,2686484835680,9077858469008

%N Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.

%C Row 5 of A275142.

%H R. H. Hardin, <a href="/A275145/b275145.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -27*a(n-2) +56*a(n-3) -75*a(n-4) +61*a(n-5) -28*a(n-6) +7*a(n-7) -a(n-8) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A275142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified April 24 15:57 EDT 2024. Contains 371961 sequences. (Running on oeis4.)