A214543 - OEIS

%I #6 Dec 31 2023 17:11:40

%S 2,1007,5360,35567,155102,562559,1786114,4984385,12779966,30245569,

%T 67041880,140742983,281169008,538998923,995176292,1777352885,

%U 3082346868,5202996925,8574228434,13820760479,21832252746,33858093487,51616202234

%N Number of 5 X 5 X 5 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.

%C Row 5 of A214540.

%H R. H. Hardin, <a href="/A214543/b214543.txt">Table of n, a(n) for n = 1..25</a>

%e Some solutions for n=4

%e ......2..........2..........2..........2..........2..........2..........3

%e .....2.2........2.2........3.1........1.3........2.2........1.3........3.3

%e ....2.2.2......2.2.2......2.3.1......1.2.3......4.2.0......1.3.2......3.3.3

%e ...2.1.2.3....3.0.2.3....0.3.4.1....1.2.2.3....4.2.0.2....1.3.1.3....4.1.3.4

%e ..0.3.1.3.3..1.4.0.4.1..1.0.4.1.4..0.2.2.4.2..4.3.1.0.2..1.2.4.0.3..4.4.1.4.2

%Y Cf. A214540.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2012