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%I #6 Apr 04 2016 16:14:06
%S 0,0,0,3108,45960,219432,609070,1243461,2111652,3201436,4508924,
%T 6034116,7777012,9737612,11915916,14311924,16925636,19757052,22806172,
%U 26072996,29557524,33259756,37179692,41317332,45672676,50245724,55036476,60044932
%N Number of 10-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions
%C Row 10 of A187586
%F Empirical: a(n) = 108852*n^2 - 978404*n + 2100276 for n>8
%e Some solutions for 4X4
%e ..0..8..9.10....0..7..8..9....0..0..0..2....0..8..9.10....0..0..0..0
%e ..1..0..7..0....0..0..6.10....0..7..1..3....0..2..7..0....1..0..7..8
%e ..2..0..5..6....2..3..4..5....0..8..6..4....0..3..1..6....2..6..0..9
%e ..3..4..0..0....0..1..0..0....0..9.10..5....0..4..5..0....3..4..5.10
%K nonn
%O 1,4
%A _R. H. Hardin_ Mar 11 2011
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