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Number of nX5 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2.
1

%I #4 Jul 12 2016 08:03:16

%S 12,216,1638,14406,126540,1119744,9902040,87416934,772181640,

%T 6822635046,60278247414,532537958400,4704850866576,41566565400576,

%U 367232957703060,3244431938093664,28663935576914748,253240434847277664

%N Number of nX5 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2.

%C Column 5 of A274959.

%H R. H. Hardin, <a href="/A274956/b274956.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -14*a(n-3) +126*a(n-4) -1046*a(n-5) -596*a(n-6) +6988*a(n-7) -890*a(n-8) -10542*a(n-9) +7876*a(n-10) -14656*a(n-11) -2216*a(n-12) +23008*a(n-13) -19912*a(n-14) +17376*a(n-15) -4912*a(n-16) -8912*a(n-17) +7632*a(n-18) -3520*a(n-19) +704*a(n-20) +1568*a(n-21) -1120*a(n-22) +160*a(n-24) -32*a(n-25) for n>28

%e Some solutions for n=4

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

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

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

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

%Y Cf. A274959.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 12 2016