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.

A321534 a(n) gives the number of configurations of non-attacking rooks up to symmetry on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n).

This page as a plain text file.
%I A321534 #9 Dec 14 2018 19:50:02
%S A321534 1,1,1,1,2,21,11,74,89,18
%N A321534 a(n) gives the number of configurations of non-attacking rooks up to symmetry on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n).
%C A321534 Conjecture: a(n) = A321532(n)/8 for n >= 4.
%e A321534 For n = 5, the a(5) = 2 essentially different configurations of nonattacking rooks with the maximal number of directions between them are given by the following two chessboards:
%e A321534    +---+---+---+---+---+
%e A321534   5| X |   |   |   |   |
%e A321534    +---+---+---+---+---+
%e A321534   4|   |   | X |   |   |
%e A321534    +---+---+---+---+---+
%e A321534   3|   |   |   | X |   |
%e A321534    +---+---+---+---+---+
%e A321534   2|   |   |   |   | X |
%e A321534    +---+---+---+---+---+
%e A321534   1|   | X |   |   |   |
%e A321534    +---+---+---+---+---+
%e A321534      A   B   C   D   E
%e A321534    +---+---+---+---+---+
%e A321534   5| X |   |   |   |   |
%e A321534    +---+---+---+---+---+
%e A321534   4|   |   |   | X |   |
%e A321534    +---+---+---+---+---+
%e A321534   3|   |   | X |   |   |
%e A321534    +---+---+---+---+---+
%e A321534   2|   |   |   |   | X |
%e A321534    +---+---+---+---+---+
%e A321534   1|   | X |   |   |   |
%e A321534    +---+---+---+---+---+
%e A321534      A   B   C   D   E
%Y A321534 Cf. A321531, A321532.
%K A321534 nonn,more
%O A321534 1,5
%A A321534 _Peter Kagey_, Nov 12 2018