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A275146 Number of 6Xn 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 16:29:38

%S 122,7776,10000,25344,41360,165568,663904,2695808,10930304,44604864,

%T 182448928,745425056,3044211024,12443779056,50916573248,208404032016,

%U 852924441248,3490340288512,14283233460800,58452748415536

%N Number of 6Xn 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 6 of A275142.

%H R. H. Hardin, <a href="/A275146/b275146.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -77*a(n-2) +286*a(n-3) -736*a(n-4) +1351*a(n-5) -1787*a(n-6) +1716*a(n-7) -1217*a(n-8) +652*a(n-9) -265*a(n-10) +78*a(n-11) -14*a(n-12) +a(n-13) for n>18

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A275142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)