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.

A261595 Triangular array T(n, k) read by rows (n >= 1, 1 <= k <= n): row n gives the lexicographically earliest doubly centro-symmetric characteristic solution to the n queens problem, or n zeros if no doubly centro-symmetric characteristic solution exists. The k-th queen is placed in square (k, T(n, k)).

This page as a plain text file.
%I A261595 #19 Sep 16 2015 03:47:42
%S A261595 1,0,0,0,0,0,2,4,1,3,2,5,3,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T A261595 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A261595 Triangular array T(n, k) read by rows (n >= 1, 1 <= k <= n): row n gives the lexicographically earliest doubly centro-symmetric characteristic solution to the n queens problem, or n zeros if no doubly centro-symmetric characteristic solution exists. The k-th queen is placed in square (k, T(n, k)).
%C A261595 See the comments under A260318.
%D A261595 Maurice Kraitchik: Mathematical Recreations. Mineola, NY: Dover, 2nd ed. 1953, pp. 247-255 (The Problem of the Queens).
%e A261595 n = 1: 1 is the trivial solution.
%e A261595 2 <= n < 4: no doubly centro-symmetric solutions exist.
%e A261595 n = 4: 2413 is the first and only solution.
%e A261595        .*..
%e A261595        ...*
%e A261595        *...
%e A261595        ..*.
%e A261595 n = 5: 25314 is the first and only solution.
%e A261595 6 <= n < 12: no doubly centro-symmetric solutions exist.
%e A261595 Triangle starts:
%e A261595 1;
%e A261595 0, 0;
%e A261595 0, 0, 0;
%e A261595 2, 4, 1, 3;
%e A261595 2, 5, 3, 1, 4;
%e A261595 0, 0, 0, 0, 0, 0;
%e A261595 ...
%Y A261595 Cf. A141843, A260318, A261596, A261597.
%K A261595 nonn,tabl
%O A261595 1,7
%A A261595 _Martin Renner_, Aug 25 2015