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%I #11 Apr 25 2018 11:49:02
%S 0,0,0,8,130,500,1274,2372,3953,5920,8273,11012,14137,17648,21545,
%T 25828,30497,35552,40993,46820,53033,59632,66617,73988,81745,89888,
%U 98417,107332,116633,126320,136393,146852,157697,168928,180545,192548,204937
%N Number of 5-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.
%C Row 5 of A187606.
%H R. H. Hardin, <a href="/A187609/b187609.txt">Table of n, a(n) for n = 1..50</a>
%F Empirical: a(n) = 193*n^2 - 1700*n + 3620 for n>7.
%F Conjectures from _Colin Barker_, Apr 25 2018: (Start)
%F G.f.: x^4*(8 + 106*x + 134*x^2 + 156*x^3 - 80*x^4 + 159*x^5 - 97*x^6) / (1 - x)^3.
%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>10.
%F (End)
%e Some solutions for 5 X 5:
%e ..0..0..0..0..0....0..0..5..0..0....0..0..2..0..0....0..0..0..5..0
%e ..0..0..3..0..0....0..0..0..4..0....4..0..0..1..0....0..1..0..0..4
%e ..2..0..0..5..0....0..0..0..0..3....0..3..0..0..0....0..0..3..0..0
%e ..0..1..0..0..4....0..0..2..0..0....0..0..5..0..0....0..0..0..2..0
%e ..0..0..0..0..0....1..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%Y Cf. A187606.
%K nonn
%O 1,4
%A _R. H. Hardin_, Mar 11 2011
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