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A275269 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. 1

%I #4 Jul 21 2016 11:37:16

%S 41,172,1440,13156,126420,1224088,11894712,115625536,1124255412,

%T 10931650164,106295619008,1033583421020,10050239175888,97725359930112,

%U 950250737426060,9239940015430552,89846278464312524,873637029851887384

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

%C Row 5 of A275266.

%H R. H. Hardin, <a href="/A275269/b275269.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -9*a(n-2) -45*a(n-3) +145*a(n-4) -295*a(n-5) +78*a(n-6) -438*a(n-7) +967*a(n-8) -1046*a(n-9) -1025*a(n-10) +1231*a(n-11) +225*a(n-12) +568*a(n-13) +55*a(n-14) +62*a(n-15) +6*a(n-16) -a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A275266.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 21 2016

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)