A270261 - OEIS

%I #4 Mar 14 2016 09:32:54

%S 0,40020,534438768,302595682944,67475902622400,4283012188676772,

%T 154159188959801952,3105816183187898208,44275679666499046080,

%U 457028430985003084500,3755534623771656954960,25194187795191181725600

%N Number of 6X6X6 triangular 0..n arrays with some element plus some adjacent element totalling n exactly once.

%C Row 6 of A270256.

%H R. H. Hardin, <a href="/A270261/b270261.txt">Table of n, a(n) for n = 1..14</a>

%e Some solutions for n=2

%e .......2............2............2............1............2............2

%e ......1.2..........1.2..........0.1..........0.0..........2.2..........2.1

%e .....1.2.2........2.2.2........0.0.0........0.0.0........2.1.2........1.2.2

%e ....2.2.2.1......1.1.2.1......0.0.0.0......0.1.0.0......2.2.2.1......2.2.2.2

%e ...2.1.2.2.2....2.2.2.2.2....0.0.0.0.0....1.0.0.0.1....2.2.2.2.1....1.1.2.2.2

%e ..1.2.2.2.1.2..2.2.2.2.2.2..0.1.0.0.0.1..2.1.0.0.0.0..1.2.2.2.2.2..2.2.2.1.2.2

%Y Cf. A270256.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 14 2016