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A270854 Number of 5 X 5 X 5 triangular 0..n arrays with some element plus some adjacent element totaling n+1, n or n-1 exactly once. 1

%I #6 May 27 2021 13:47:14

%S 0,0,2298,307494,15754872,469037376,8746813158,121991495904,

%T 1213829981232,9734824653450,61574400558324,331178241244350,

%U 1508910046819356,6093153192888900,21845378487998154,71477509051004274

%N Number of 5 X 5 X 5 triangular 0..n arrays with some element plus some adjacent element totaling n+1, n or n-1 exactly once.

%C Row 5 of A270850.

%H R. H. Hardin, <a href="/A270854/b270854.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=3

%e ......2..........2..........0..........3..........1..........3..........0

%e .....2.3........2.3........1.1........2.3........0.0........3.2........0.0

%e ....3.3.2......3.3.3......0.0.0......3.2.3......0.0.0......3.2.3......0.0.0

%e ...3.3.3.3....3.2.3.3....0.0.0.1....3.3.3.3....0.0.0.1....2.3.3.3....0.1.0.1

%e ..3.2.3.3.3..3.3.3.3.3..1.0.0.0.0..3.2.3.3.2..0.1.0.0.1..3.3.2.3.3..0.1.0.0.0

%Y Cf. A270850.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 24 2016

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