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Number of nXnXn triangular 0..1 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all equal.
2

%I #5 Apr 04 2016 13:40:13

%S 0,1,15,207,3283,64650,1640007,54704700,2429994600,144950275305,

%T 11678538065077,1276251983814717,189767651505152535,

%U 38484504169958401936,10664509514660169498882,4044220867954839169651680

%N Number of nXnXn triangular 0..1 arrays with new values introduced in sequential zero-upwards order and exactly one upright 2x2x2 triangle having values all equal.

%C Column 1 of A271339.

%H R. H. Hardin, <a href="/A271333/b271333.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=4

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

%e ....1.1......0.1......0.1......1.0......0.1......1.1......1.0......0.1

%e ...0.1.0....1.1.1....1.0.0....1.1.0....1.1.0....1.0.1....1.0.0....0.0.0

%e ..0.0.0.1..0.1.0.1..1.1.1.1..0.0.1.0..1.0.0.0..0.0.0.0..0.0.1.1..0.1.1.1

%Y Cf. A271339.

%K nonn

%O 1,3

%A _R. H. Hardin_, Apr 04 2016