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Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,5,5,0,0,4,3 for x=0,1,2,3,4,5,6

0

`%I #6 Mar 31 2012 12:36:30
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`%S 1,1,7,50,475,7758,232920,10474252,800434581,103737269018,
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`%T 21673922882462,7564482881717686,4386514307465653148
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`%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 1,5,5,0,0,4,3 for x=0,1,2,3,4,5,6
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`%C Every 0 is next to 0 1's, every 1 is next to 1 5's, every 2 is next to 2 5's, every 3 is next to 3 0's, every 4 is next to 4 0's, every 5 is next to 5 4's, every 6 is next to 6 3's
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`%e Some solutions for 5X5X5
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`%e ......0..........0..........0..........0..........0..........0..........0
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`%e .....0.3........0.0........0.0........0.3........0.4........0.4........3.0
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`%e ....0.4.0......0.4.3......3.0.0......0.0.3......4.0.0......3.0.0......3.0.4
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`%e ...0.4.0.4....3.4.0.0....3.0.4.3....4.0.0.0....0.0.0.0....3.0.0.3....0.0.0.0
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`%e ..0.0.3.0.0..0.0.0.4.0..0.0.3.0.0..0.0.3.3.0..0.0.3.3.0..0.0.0.3.0..0.4.0.4.0
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`%K nonn
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`%O 1,3
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`%A _R. H. Hardin_ Oct 16 2011
`