cp's OEIS Frontend

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.

A195798 Number of triangular n X n X n 0..1 arrays with all rows and diagonals having the same length having the same sum, with corners zero.

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%I A195798 #17 Sep 08 2022 11:55:22
%S A195798 1,1,2,8,16,64,1184,5300,130324,14748808,421963232,54990266540
%N A195798 Number of triangular n X n X n 0..1 arrays with all rows and diagonals having the same length having the same sum, with corners zero.
%C A195798 From _Pontus von Brömssen_, Sep 08 2022: (Start)
%C A195798 For n <= 6, all solutions are rotationally symmetric, which implies that a(n) = 2^(A007997(n+4)-1). But for n >= 7 there exist asymmetric solutions like
%C A195798         0
%C A195798        0 0
%C A195798       0 0 1
%C A195798      0 1 0 0
%C A195798     1 0 0 0 0
%C A195798    0 0 0 0 1 0
%C A195798   0 0 0 1 0 0 0.
%C A195798 (End)
%e A195798 Some solutions for n=5
%e A195798 ......0..........0..........0..........0..........0..........0..........0
%e A195798 .....0.0........0.0........0.0........0.1........0.1........0.1........0.1
%e A195798 ....0.1.0......1.0.1......1.1.1......0.0.0......0.1.0......1.0.1......1.1.1
%e A195798 ...0.1.1.0....0.0.0.0....0.1.1.0....1.0.0.0....1.1.1.0....1.0.0.0....1.1.1.0
%e A195798 ..0.0.0.0.0..0.0.1.0.0..0.0.1.0.0..0.0.0.1.0..0.0.0.1.0..0.0.1.1.0..0.0.1.1.0
%Y A195798 Column 1 of A195805.
%Y A195798 Cf. A007997.
%K A195798 nonn,hard,more
%O A195798 1,3
%A A195798 _R. H. Hardin_, Sep 23 2011