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A187293 Number of 8-step one or two space at a time rook's tours on an n X n board summed over all starting positions 1

%I #7 Apr 04 2016 16:14:05

%S 0,0,2664,134944,866888,2732016,6049424,10906120,17282088,25129488,

%T 34417440,45129696,57260948,70809512,85775112,102157696,119957264,

%U 139173816,159807352,181857872,205325376,230209864,256511336,284229792

%N Number of 8-step one or two space at a time rook's tours on an n X n board summed over all starting positions

%C Row 8 of A187286

%H R. H. Hardin, <a href="/A187293/b187293.txt">Table of n, a(n) for n = 1..50</a>

%F Empirical: a(n) = 708492*n^2 - 5580668*n + 10074432 for n>13

%e Some solutions for 4X4

%e ..0..5..1..0....0..5..6..0....5..4..6..3....0..0..0..6....3..2..0..1

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

%e ..0..4..3..0....0..0..0..2....0..0..8..2....0..3..4..5....4..0..0..8

%e ..0..7..0..8....0..0..0..1....0..0..0..0....0..2..1..0....5..6..0..7

%K nonn

%O 1,3

%A _R. H. Hardin_ Mar 08 2011

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Last modified May 13 09:49 EDT 2024. Contains 372504 sequences. (Running on oeis4.)