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 A214599 #10 Aug 21 2025 10:01:52 %S A214599 2,2869211,63120962,5495329427,69920063852,971302214871,7427553264322, %T A214599 51611647496273,265462242006596,1257264229573585,4911963280790040, %U A214599 18044741780879451,57852506775385206,177133944592970795 %N A214599 Number of 6X6X6 triangular 0..n arrays with every horizontal row having the same average value. %H A214599 R. H. Hardin, <a href="/A214599/b214599.txt">Table of n, a(n) for n = 1..210</a> %e A214599 Some solutions for n=3 %e A214599 .......1............1............1............1............1............1 %e A214599 ......0.2..........0.2..........0.2..........0.2..........0.2..........0.2 %e A214599 .....1.1.1........1.1.1........1.1.1........1.1.1........1.1.1........1.1.1 %e A214599 ....0.1.3.0......1.0.1.2......0.1.0.3......0.0.1.3......0.1.1.2......1.1.1.1 %e A214599 ...2.0.0.1.2....1.1.1.2.0....0.2.2.0.1....1.1.1.2.0....0.1.1.3.0....2.0.0.1.2 %e A214599 ..1.3.0.2.0.0..1.0.0.3.0.2..1.2.2.0.0.1..1.1.1.3.0.0..1.3.0.0.0.2..1.1.0.0.2.2 %Y A214599 Row 6 of A214595. %K A214599 nonn,changed %O A214599 1,1 %A A214599 _R. H. Hardin_, Jul 22 2012