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A275147 Number of 7Xn 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 16:30:27

%S 365,46656,50000,122368,175120,841536,4055152,19906560,98050624,

%T 485275472,2393975472,11827067056,58618143280,290834622960,

%U 1442223151168,7149923428256,35460798018688,175959368070992,873276392285488

%N Number of 7Xn 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 7 of A275142.

%H R. H. Hardin, <a href="/A275147/b275147.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1330*a(n-3) -6059*a(n-4) +20839*a(n-5) -55739*a(n-6) +118287*a(n-7) -202495*a(n-8) +284119*a(n-9) -331806*a(n-10) +326718*a(n-11) -273224*a(n-12) +193798*a(n-13) -115270*a(n-14) +56258*a(n-15) -21837*a(n-16) +6481*a(n-17) -1404*a(n-18) +210*a(n-19) -20*a(n-20) +a(n-21) for n>27

%e Some solutions for n=5

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

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

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

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

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

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

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

%Y Cf. A275142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified September 19 05:53 EDT 2024. Contains 376004 sequences. (Running on oeis4.)