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A198910 Number of nX4 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor 2

%I #5 Mar 31 2012 12:36:35

%S 5,500,269940,319608038,481871809749,769126451071174,

%T 1243368053336112649,2015791720035206825303,3270193421121063659774745,

%U 5305976942994216714747844079,8609380449975858170849466245738

%N Number of nX4 0..7 arrays with values 0..7 introduced in row major order and no element equal to any horizontal or vertical neighbor

%C Column 4 of A198914

%H R. H. Hardin, <a href="/A198910/b198910.txt">Table of n, a(n) for n = 1..123</a>

%F Empirical: a(n) = 2296*a(n-1) -1239092*a(n-2) +252277904*a(n-3) -24632440060*a(n-4) +1347961370754*a(n-5) -44994493075469*a(n-6) +960046624478492*a(n-7) -13429762946315149*a(n-8) +124540876930445980*a(n-9) -765040702294085198*a(n-10) +3074302608489782520*a(n-11) -7884335188124038674*a(n-12) +12438514719451024794*a(n-13) -11471383995777540513*a(n-14) +5595786642970619820*a(n-15) -1099871574411268404*a(n-16)

%e Some solutions with values 0 to 7 for n=3

%e ..0..1..2..3....0..1..0..2....0..1..2..3....0..1..2..1....0..1..0..2

%e ..3..4..5..2....3..4..5..3....4..5..0..6....3..4..5..6....2..0..3..4

%e ..6..7..1..6....6..1..7..2....2..7..6..5....4..7..0..7....3..5..6..7

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 31 2011

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Last modified September 9 07:24 EDT 2024. Contains 375762 sequences. (Running on oeis4.)