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A275232 Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. 1

%I #4 Jul 20 2016 18:31:40

%S 32,404,8134,164645,3334854,67550874,1368326231,27717164160,

%T 561446064338,11372797129197,230370331746218,4666441245648374,

%U 94524645450606455,1914715759242977500,38784979537110927630,785638615177198244373

%N Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.

%C Row 7 of A275228.

%H R. H. Hardin, <a href="/A275232/b275232.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) +57*a(n-2) -1206*a(n-3) +3096*a(n-4) +2306*a(n-5) -16957*a(n-6) +20440*a(n-7) -7755*a(n-8) for n>9

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A275228.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2016

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)