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

%I #4 Aug 25 2016 11:01:49

%S 12,216,900,6372,43662,291113,2003694,13727745,93489265,640009243,

%T 4379295051,29922848497,204644541144,1399625354348,9569139510819,

%U 65434111682248,447456959717215,3059585696910093,20921152908833326

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

%C Column 5 of A276248.

%H R. H. Hardin, <a href="/A276245/b276245.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -15*a(n-2) +193*a(n-3) -1673*a(n-4) +2361*a(n-5) -13142*a(n-6) +119938*a(n-7) -153895*a(n-8) +427606*a(n-9) -4363581*a(n-10) +5536053*a(n-11) -7687709*a(n-12) +89955043*a(n-13) -118267531*a(n-14) +83663690*a(n-15) -1111701314*a(n-16) +1540668051*a(n-17) -578797811*a(n-18) +8437597818*a(n-19) -12402279754*a(n-20) +2556185764*a(n-21) -39106130132*a(n-22) +61573100446*a(n-23) -6751787454*a(n-24) +105856537916*a(n-25) -184309560828*a(n-26) +8639167892*a(n-27) -147643128228*a(n-28) +315356494588*a(n-29) -1551938012*a(n-30) +63541767808*a(n-31) -274843851584*a(n-32) -4525044880*a(n-33) +51262094912*a(n-34) +89401851200*a(n-35) +1588916224*a(n-36) -39509856000*a(n-37) +2071917568*a(n-38) +578055168*a(n-39) -118431744*a(n-40) -1064960*a(n-41) for n>45

%e Some solutions for n=4

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

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

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

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

%Y Cf. A276248.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 25 2016