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Number of 5X5X5 triangular 0..n arrays with some element plus some adjacent element totalling n+1 exactly once.
1

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

%S 1149,369072,34889103,1489277664,32485734273,448630205184,

%T 4293998004723,30804535353600,177863468258565,847631761246800,

%U 3513899168535639,12731640696610272,41920406552431113,125031636388348704

%N Number of 5X5X5 triangular 0..n arrays with some element plus some adjacent element totalling n+1 exactly once.

%C Row 5 of A270509.

%H R. H. Hardin, <a href="/A270513/b270513.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=1

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

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

%e ....0.0.0......1.0.0......1.0.0......0.0.0......0.0.0......1.0.0......0.0.0

%e ...0.1.0.0....0.0.0.0....0.0.0.1....0.0.1.0....0.1.0.0....1.0.0.1....1.0.0.0

%e ..0.1.0.1.0..1.0.0.1.1..0.0.0.1.0..1.0.0.0.0..0.0.1.0.1..0.0.0.0.0..0.0.0.1.1

%Y Cf. A270509.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2016