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A187865 Number of 10-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 A187865 #9 Jul 22 2025 10:56:00
%S A187865 0,0,0,219008,6387404,38766870,133665550,327612556,658127610,
%T A187865 1150253908,1821396586,2678117739,3721029612,4946379865,6353213493,
%U A187865 7935533922,9694577705,11627337878,13734354068,16015165378,18469771808,21098173358
%N A187865 Number of 10-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 A187865 Row 10 of A187857
%H A187865 R. H. Hardin, <a href="/A187865/b187865.txt">Table of n, a(n) for n = 1..50</a>
%F A187865 Empirical: a(n) = 86897560*n^2 - 1108193530*n + 3420011978 for n>17
%e A187865 Some solutions for 4X4
%e A187865 ..0..9..0..0....9..8..3..2....0..9..8..5....0..0..6..0....0..1.10..2
%e A187865 ..7..3..8..0....0..7..0..1....0..4..1..7....4..1..5..8....9..4..0..0
%e A187865 ..0..6..2.10...10..4..6..5...10..3..0..6....3..7..0.10....0..8..3..0
%e A187865 ..1..0..5..4....0..0..0..0....0..0..2..0....0..2..0..9....5..7..6..0
%K A187865 nonn
%O A187865 1,4
%A A187865 _R. H. Hardin_ Mar 14 2011