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A275396 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. 1

%I #4 Jul 26 2016 14:50:06

%S 5,54,84,178,394,1017,2645,6980,18464,48959,129079,340418,895555,

%T 2359728,6219251,16402499,43261910,114071354,300754298,792805040,

%U 2090067487,5510137826,14527552687,38302379482,100983905166,266240696535

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

%C Column 3 of A275401.

%H R. H. Hardin, <a href="/A275396/b275396.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-2) -19*a(n-3) +a(n-4) +65*a(n-5) -47*a(n-6) -99*a(n-7) +83*a(n-8) +66*a(n-9) -4*a(n-10) -60*a(n-11) -73*a(n-12) +36*a(n-13) +121*a(n-14) -88*a(n-15) +13*a(n-16) +8*a(n-17) -19*a(n-18) +20*a(n-19) -7*a(n-20) -a(n-21) +2*a(n-22) -a(n-23) +a(n-24) for n>28

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275401.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2016

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Last modified April 17 20:27 EDT 2024. Contains 371767 sequences. (Running on oeis4.)