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Number of 6X6X6 triangular 0..n arrays with some element plus some adjacent element totalling n+1 exactly once.
1

%I #4 Mar 18 2016 08:09:53

%S 14220,47829828,22383193638,4560833505432,332450685760224,

%T 14156156843376732,342379234166696586,5782237511907430128,

%U 69687752498560963956,656635477063987211700,4977794111482229697390

%N Number of 6X6X6 triangular 0..n arrays with some element plus some adjacent element totalling n+1 exactly once.

%C Row 6 of A270509.

%H R. H. Hardin, <a href="/A270514/b270514.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=1

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

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

%e .....0.0.1........0.0.0........0.0.0........0.0.0........0.0.1........0.0.0

%e ....0.0.0.0......0.0.0.0......1.0.0.0......0.0.0.0......0.1.0.0......0.0.0.1

%e ...0.1.0.0.0....0.1.0.1.0....0.0.0.0.0....0.0.0.0.0....0.0.0.0.1....0.1.0.0.0

%e ..0.0.0.0.1.0..1.0.1.0.0.1..1.0.0.1.1.0..0.0.0.0.0.1..0.0.0.1.0.1..1.0.0.1.0.0

%Y Cf. A270509.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2016