|
%I #7 Apr 04 2016 16:14:06
%S 0,0,49536,7067600,71450504,288493336,741624088,1474319716,2497432760,
%T 3806665836,5395343360,7259273932,9396774760,11807403172,14491089616,
%U 17447829164,20677621816,24180467572,27956366432,32005318396,36327323464
%N Number of 8-step king-knight's tours (piece capable of both kinds of moves) on an n X n board summed over all starting positions
%C Row 8 of A187850
%H R. H. Hardin, <a href="/A187856/b187856.txt">Table of n, a(n) for n = 1..50</a>
%F Empirical: a(n) = 136526552*n^2 - 1275583564*n + 2906368876 for n>13
%e Some solutions for 3X3
%e ..8..5..2....0..8..4....5..4..3....8..4..6....0..4..7....8..4..5....8..4..1
%e ..7..6..1....3..7..1....8..2..6....5..3..7....5..2..8....2..0..7....7..2..3
%e ..4..3..0....6..5..2....0..1..7....0..1..2....1..6..3....1..6..3....5..6..0
%K nonn
%O 1,3
%A _R. H. Hardin_ Mar 14 2011
| 