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 A214910 #6 Jul 22 2025 23:20:22 %S A214910 2,146,1682,29162,210914,1563440,8156190,40258709,158198222,595338230, %T A214910 1928269526,6018440390,16759097486,45277885958,112522145318, %U A214910 272384422903,616484632830,1366517073926,2868519969642,5914643033078,11661558993698 %N A214910 Number of 6X6X6 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value. %C A214910 Row 6 of A214906 %H A214910 R. H. Hardin, <a href="/A214910/b214910.txt">Table of n, a(n) for n = 1..210</a> %e A214910 Some solutions for n=4 %e A214910 .......2............2............2............2............3............1 %e A214910 ......2.2..........1.3..........0.4..........1.3..........2.4..........0.2 %e A214910 .....1.1.4........0.3.3........1.2.3........1.2.3........2.3.4........1.1.1 %e A214910 ....0.1.3.4......2.2.2.2......0.1.3.4......1.2.2.3......0.4.4.4......0.1.1.2 %e A214910 ...0.1.3.3.3....2.2.2.2.2....2.2.2.2.2....0.1.1.4.4....1.3.3.4.4....0.0.1.2.2 %e A214910 ..0.1.1.3.3.4..2.2.2.2.2.2..0.0.2.2.4.4..0.0.2.2.4.4..1.2.3.4.4.4..0.0.0.2.2.2 %K A214910 nonn %O A214910 1,1 %A A214910 _R. H. Hardin_ Jul 29 2012