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Number of nXnXn triangular 0..1 arrays with each element equal to at least one neighbor and new values 0..1 introduced in row major order
1

%I #6 Mar 31 2012 12:36:20

%S 0,1,10,126,3177,158063,15473373,2981756709,1131238674765,

%T 844937235946975,1242458005388315095,3596882436029100961277,

%U 20500197685375360012821576,230026108495284153905216078861

%N Number of nXnXn triangular 0..1 arrays with each element equal to at least one neighbor and new values 0..1 introduced in row major order

%H R. H. Hardin, <a href="/A192600/b192600.txt">Table of n, a(n) for n = 1..17</a>

%e All solutions for 3X3X3

%e ....0......0......0......0......0......0......0......0......0......0

%e ...0.1....0.0....1.0....1.0....0.0....0.0....1.0....0.1....0.1....0.0

%e ..0.1.1..0.0.0..1.0.0..1.1.1..0.1.1..1.1.1..1.1.0..1.1.1..0.0.1..1.1.0

%K nonn

%O 1,3

%A _R. H. Hardin_ Jul 04 2011