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%I #4 Mar 29 2016 07:48:49
%S 98,2420,29120,232432,1402082,6872424,28658242,104918592,344970188,
%T 1036183048,2880940360,7491977248,18376721948,42808972960,95252409300,
%U 203411012288,418599114270,833032325020,1607950467240,3018338301840
%N Number of 5X5X5 triangular 0..n arrays with some element less than a w, nw or ne neighbor exactly once.
%C Row 5 of A271034.
%H R. H. Hardin, <a href="/A271037/b271037.txt">Table of n, a(n) for n = 1..43</a>
%F Empirical: a(n) = (271/59439744000)*n^15 + (13547/43589145600)*n^14 + (13957/1437004800)*n^13 + (88289/479001600)*n^12 + (17036507/7185024000)*n^11 + (190313/8709120)*n^10 + (135902587/914457600)*n^9 + (230644919/304819200)*n^8 + (134986897/46656000)*n^7 + (89816651/10886400)*n^6 + (281267579/16329600)*n^5 + (23798177/935550)*n^4 + (394130917/15765750)*n^3 + (137477173/9459450)*n^2 + (12932/3465)*n
%e Some solutions for n=3
%e ......0..........0..........0..........0..........0..........1..........0
%e .....0.1........0.1........0.1........1.1........0.0........1.1........0.0
%e ....1.1.1......0.3.3......0.1.1......1.2.2......0.1.1......1.2.2......1.1.1
%e ...1.1.2.2....0.0.3.3....0.1.2.1....0.2.2.2....0.1.1.1....2.2.2.2....1.2.2.1
%e ..1.3.3.2.3..2.3.3.3.3..0.2.2.2.2..3.3.3.3.3..3.2.3.3.3..2.2.3.2.2..2.2.3.3.3
%Y Cf. A271034.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 29 2016
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