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 A187864 Number of 9-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 1

%I #7 Apr 04 2016 16:14:07

%S 0,0,414,124880,2090520,9934272,29607932,65963326,123580937,204771252,

%T 310971475,441931786,597915172,777662238,981570648,1208872830,

%U 1459728029,1734003242,2031698469,2352813710,2697348965,3065304234,3456679517

%N Number of 9-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 Row 9 of A187857

%H R. H. Hardin, <a href="/A187864/b187864.txt">Table of n, a(n) for n = 1..50</a>

%F Empirical: a(n) = 11710007*n^2 - 135575032*n + 380311550 for n>15

%e Some solutions for 4X4

%e ..0..0..4..0....0..5..0..0....0..0..0..0....0..0..2..0....5..4..0..0

%e ..9..0..6..3....0..4..3..7....0..5..7..6....4..0..1..8....0..3..2..1

%e ..0..8..5..2....1..0..2..6....2..4..3..9....0..3..0..7....6..8..7..9

%e ..0..0..7..1....0..0..9..8....1..8..0..0....0..6..5..9....0..0..0..0

%K nonn

%O 1,3

%A _R. H. Hardin_ Mar 14 2011

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Last modified June 23 00:47 EDT 2024. Contains 373629 sequences. (Running on oeis4.)