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A187862 Number of 7-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.

%I A187862 #9 Jul 22 2025 10:55:39
%S A187862 0,0,1206,26584,180750,568870,1314428,2456614,4062007,6094090,8589253,
%T A187862 11504726,14853686,18625870,22821278,27439910,32481766,37946846,
%U A187862 43835150,50146678,56881430,64039406,71620606,79625030,88052678,96903550
%N A187862 Number of 7-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.
%C A187862 Row 7 of A187857
%H A187862 R. H. Hardin, <a href="/A187862/b187862.txt">Table of n, a(n) for n = 1..50</a>
%F A187862 Empirical: a(n) = 211612*n^2 - 1941340*n + 4328678 for n>11
%e A187862 Some solutions for 4X4
%e A187862 ..0..3..5..4....0..0..4..0....0..0..0..0....0..3..2..0....0..1..0..0
%e A187862 ..1..7..2..0....7..6..0..3....0..4..0..7....1..0..0..6....4..0..7..0
%e A187862 ..0..0..6..0....0..5..0..2....0..3..2..6....0..4..0..5....3..2..6..0
%e A187862 ..0..0..0..0....0..1..0..0....0..5..0..1....0..0..7..0....0..0..5..0
%K A187862 nonn
%O A187862 1,3
%A A187862 _R. H. Hardin_ Mar 14 2011