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%I #4 Mar 29 2016 07:50:31
%S 642,56754,2173554,50108414,804566180,9790184488,95420380090,
%T 774600507974,5391017644856,32890239598008,179007489630476,
%U 881467345491584,3972721376352724,16545720243662726,64195774252619306
%N Number of 7X7X7 triangular 0..n arrays with some element less than a w, nw or ne neighbor exactly once.
%C Row 7 of A271034.
%H R. H. Hardin, <a href="/A271039/b271039.txt">Table of n, a(n) for n = 1..18</a>
%e Some solutions for n=2
%e ........0..............0..............0..............0..............0
%e .......0.0............0.0............0.0............0.1............0.0
%e ......0.0.0..........0.2.2..........0.1.1..........0.1.1..........0.0.0
%e .....0.0.1.0........1.1.2.2........0.1.1.1........0.0.2.2........0.0.1.1
%e ....0.1.1.1.2......1.1.2.2.2......1.1.2.1.2......0.0.2.2.2......1.1.1.1.1
%e ...0.1.1.1.2.2....1.1.2.2.2.2....2.2.2.2.2.2....0.1.2.2.2.2....0.1.1.1.1.1
%e ..0.2.2.2.2.2.2..1.1.2.2.2.2.2..2.2.2.2.2.2.2..0.1.2.2.2.2.2..1.2.2.2.2.2.2
%Y Cf. A271034.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 29 2016
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