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 A109618 #33 Jul 22 2025 06:09:51 %S A109618 0,0,0,2,8,56,482,6374,116980,3089024,115321068,6150672392 %N A109618 Half the number of nXnXn triangular binary arrays with the sum of each element's NW E SW neighbors unequal to the sum of its NE W SE neighbors. %e A109618 Some solutions for 6X6X6 with summit=0 %e A109618 .......0............0............0............0............0............0 %e A109618 ......0.1..........1.0..........1.0..........0.1..........1.0..........1.0 %e A109618 .....0.0.1........0.1.1........1.0.1........1.1.0........0.1.1........0.1.1 %e A109618 ....0.1.0.0......0.1.1.1......1.1.0.1......1.1.0.1......1.0.1.1......0.1.0.0 %e A109618 ...1.1.0.1.1....1.1.0.1.0....0.1.0.0.0....1.0.0.0.1....1.0.0.0.1....0.0.0.1.0 %e A109618 ..0.0.1.1.0.0..0.0.1.0.1.0..0.1.0.1.1.0..0.0.1.1.0.0..0.0.1.1.0.0..0.1.1.0.1.1 %Y A109618 Equal sums gives A023022(n+2). %K A109618 nonn,more %O A109618 1,4 %A A109618 _R. H. Hardin_, Jul 02 2011