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Number of 7 X 7 X 7 triangular 0..n arrays with some element plus some adjacent element totalling n+1, n or n-1 exactly once.
0

%I #5 Sep 25 2021 10:22:34

%S 0,0,460494,4875050400,5281372355106,2104222937252028,

%T 358240737864481086,41234776662339168204,2798233542174582927894,

%U 142439611138184581460718

%N Number of 7 X 7 X 7 triangular 0..n arrays with some element plus some adjacent element totalling n+1, n or n-1 exactly once.

%C Row 7 of A270850.

%e Some solutions for n=3

%e ........0..............1..............1..............0..............1

%e .......0.1............0.1............0.0............0.1............0.0

%e ......1.0.0..........0.0.0..........1.0.1..........0.0.0..........0.0.0

%e .....0.0.0.1........0.0.0.1........1.0.0.0........1.0.0.0........0.0.0.0

%e ....0.0.0.1.0......0.0.0.0.0......0.0.1.0.1......0.1.0.0.0......0.0.0.1.0

%e ...0.1.0.0.0.1....0.1.0.0.0.0....0.1.0.0.0.0....0.0.0.1.0.0....0.0.0.0.0.1

%e ..1.0.0.0.1.0.0..0.0.0.0.0.0.1..1.0.0.1.0.0.1..1.0.0.0.0.0.1..0.0.0.0.0.1.0

%Y Cf. A270850.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 24 2016