Search: id:A098604
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%I A098604
%S A098604 1,2,4,3,4,4,4,4,4,4,5,4,4,4,5,6,4,4,4,6,8,7,6,6,6,7,8,10,8,8,8,8,8,
%T A098604 8,11,12,9,8,8,8,8,10,12,13,14,10,8,8,8,9,12,14,14,15,16,11,8,8,8,10,
%U A098604 12,15,16,17,19,21,12,8,8,8,10,12,16,16,18,20,22,24,13,10,10,10,12,14
%N A098604 Triangle T(n,k) read by rows, for 1 <= k <= n: minimal number of knights 
               needed to cover a k X n board.
%C A098604 How many knights are needed to occupy or attack every square of a k X 
               n board?
%C A098604 I do not know how many of these numbers have been proved to be optimal. 
               - N. J. A. Sloane (njas(AT)research.att.com), Nov 08 2004.
%H A098604 Lee Morgenstern, <a href="http://home.earthlink.net/~morgenstern">Knight 
               Domination</a>
%e A098604 Triangle begins:
%e A098604 1
%e A098604 2 4
%e A098604 3 4 4
%e A098604 4 4 4 4
%e A098604 5 4 4 4 5
%e A098604 6 4 4 4 6 8
%e A098604 7 6 6 6 7 8 10
%Y A098604 See A006075 for the n X n case (the main diagonal). A006076 gives number 
               of ways to cover an n X n board using the minimal number of knights.
%Y A098604 Sequence in context: A069655 A004574 A073127 this_sequence A083172 A104148 
               A089169
%Y A098604 Adjacent sequences: A098601 A098602 A098603 this_sequence A098605 A098606 
               A098607
%K A098604 nonn,tabl,nice
%O A098604 1,2
%A A098604 N. J. A. Sloane (njas(AT)research.att.com).
%E A098604 Morgenstern's table extends a long way beyond what is shown here.

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