This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A214592 #20 Aug 26 2025 14:24:23
%S A214592 6,18,312,33352,20608352,69920063852,1279414854562952,
%T A214592 126404181535040391152,67823930097039015417498752,
%U A214592 198754894778868023542228903871252,3195893205534165606040279967148673282502,283070945017969156158537463029538134823210477502
%N A214592 Number of nXnXn triangular 0..5 arrays with every horizontal row having the same average value.
%H A214592 R. H. Hardin, <a href="/A214592/b214592.txt">Table of n, a(n) for n = 1..52</a>
%F A214592 From _M. F. Hasler_, Aug 21 2025: (Start)
%F A214592 a(n) == 2 (mod 10) for n > 2, (mod 50) for n > 3, (mod 2500) for n > 10, (mod 25000) for n > 21, (mod 125000000000) for n > 26.
%F A214592 a(n) = Sum_{k=0..5} Product_{L=2..n} NC(k*L, L, 5), where NC(s, n, m) is the number of compositions with sum s and n parts between 0 and m. (End)
%e A214592 Some solutions for n=4
%e A214592 .....2........3........1........2........2........2........2........2
%e A214592 ....1.3......3.3......2.0......1.3......0.4......3.1......1.3......1.3
%e A214592 ...2.4.0....3.1.5....2.1.0....1.5.0....4.2.0....0.2.4....3.1.2....1.4.1
%e A214592 ..3.3.2.0..4.3.0.5..0.2.1.1..1.2.5.0..3.1.3.1..2.1.2.3..0.2.5.1..1.5.1.1
%o A214592 (PARI) apply( {A214592(n)=A214595(n,5)}, [1..12]) \\ _M. F. Hasler_, Aug 21 2025
%Y A214592 Column 5 of A214595.
%K A214592 nonn,changed
%O A214592 1,1
%A A214592 _R. H. Hardin_, Jul 22 2012