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A037009 Consider an n X n board with a knight's path, not necessarily closed, that visits every square exactly once; number the squares [ 1..n^2 ] along the path; a(n) = maximal number of prime numbered squares that can be attacked by a queen. 0

%I #41 Oct 07 2023 21:40:48

%S 0,0,0,0,9,11,15,18,22,25

%N Consider an n X n board with a knight's path, not necessarily closed, that visits every square exactly once; number the squares [ 1..n^2 ] along the path; a(n) = maximal number of prime numbered squares that can be attacked by a queen.

%H Chris K. Caldwell and G. L. Honaker, Jr., <a href="https://t5k.org/curios/page.php?curio_id=549">Prime Curio for 18</a>

%H Mike Keith, <a href="http://www.cadaeic.net/primeq.htm">The Prime Queen Attacking Problem</a>

%H Jacques Tramu, <a href="http://mapage.noos.fr/echolalie/q9.htm">Le problème de Honaker résolu pour n=9</a>, on Echolalie.

%H Jacques Tramu, <a href="http://www.echolalie.com/q10.htm">Le problème de Honaker pour n=10</a>.

%Y Cf. A001230.

%K hard,nonn,more

%O 1,5

%A _G. L. Honaker, Jr._, Nov 15 1998

%E a(9)-a(10) from _Jacques Tramu_, Mar 28 2004

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Last modified April 30 23:38 EDT 2024. Contains 372141 sequences. (Running on oeis4.)