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A275040 Number of 5Xn 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-2) or (-2,0) and new values introduced in order 0..2. 1

%I #4 Jul 14 2016 09:56:27

%S 12,162,450,2334,11624,57984,290927,1465435,7376949,37148115,

%T 187150874,943024281,4751935274,23946771826,120679612086,608149528211,

%U 3064647978801,15443791732842,77826897454970,392197493948848

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

%C Row 5 of A275037.

%H R. H. Hardin, <a href="/A275040/b275040.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -27*a(n-2) +79*a(n-3) -99*a(n-4) -81*a(n-5) +860*a(n-6) -1162*a(n-7) -868*a(n-8) +1676*a(n-9) -3352*a(n-10) -1549*a(n-11) +4857*a(n-12) +1164*a(n-13) +3213*a(n-14) +5946*a(n-15) -1377*a(n-16) -5652*a(n-17) -4880*a(n-18) -2760*a(n-19) -710*a(n-20) +595*a(n-21) +1142*a(n-22) +594*a(n-23) +71*a(n-24) +48*a(n-25) +20*a(n-26) +a(n-28) for n>32

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A275037.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 14 2016

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Last modified April 30 10:25 EDT 2024. Contains 372131 sequences. (Running on oeis4.)