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%I #6 Apr 26 2021 21:33:40
%S 0,0,28440,27582438,5805948474,571228600932,29999932959600,
%T 1131964246928502,27738553460278170,526704152938743948,
%U 7209576736148583840,80085435443327098104,700902167873486650002
%N Number of 6 X 6 X 6 triangular 0..n arrays with some element plus some adjacent element totalling n+1, n or n-1 exactly once.
%C Row 6 of A270850.
%H R. H. Hardin, <a href="/A270855/b270855.txt">Table of n, a(n) for n = 1..15</a>
%e Some solutions for n=3
%e .......0............2............3............3............3............1
%e ......0.1..........3.3..........3.3..........3.3..........3.2..........0.0
%e .....0.0.1........2.3.3........3.3.2........3.3.3........2.3.3........0.0.1
%e ....0.0.0.0......3.3.3.2......3.2.3.3......3.3.3.2......3.3.3.3......0.0.0.0
%e ...0.0.0.0.1....3.2.3.3.3....3.3.3.3.2....3.3.3.3.3....3.3.3.2.2....0.0.0.1.0
%e ..0.0.0.1.0.0..2.3.3.3.2.2..2.3.2.3.2.3..3.3.3.3.2.2..2.3.2.3.3.3..1.0.0.1.0.0
%Y Cf. A270850.
%K nonn
%O 1,3
%A _R. H. Hardin_, Mar 24 2016
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