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%I #8 Feb 27 2018 04:58:29
%S 1,6,26,89,249,604,1340,2718,5166,9309,16010,26443,42285,65576,99088,
%T 146337,211677,300467,419570,576863,782184,1047233,1385738,1813757,
%U 2350697,3018141,3841784,4851076,6079477,7564937,9351702,11488015
%N Number of 6 X 6 X 6 triangular nonnegative integer arrays, symmetric under 120 degree rotation, with all sums of an element and its neighbors <= n.
%H R. H. Hardin, <a href="/A166214/b166214.txt">Table of n, a(n) for n=0..63</a>
%F Empirical g.f.: (1 + 6*x + 22*x^2 + 61*x^3 + 127*x^4 + 196*x^5 + 242*x^6 + 244*x^7 + 193*x^8 + 113*x^9 + 50*x^10 + 16*x^11 + 3*x^12) / ((1 - x)^8*(1 + x)^4*(1 + x + x^2)^4). - _Colin Barker_, Feb 27 2018
%K nonn
%O 0,2
%A _R. H. Hardin_, Oct 09 2009
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