NAME
Number of 3-turn bishop's tours on a an n X n board summed over all starting positions
Number of 3-turn bishop's tours on a an n X n board summed over all starting positions
Number of 3-turn bishop's tours on a nXn n X n board summed over all starting positions
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Contribution from Vaclav Kotesovec, Sep 1 01 2012: (Start)
Empirical: G.f.: -4*x^3*(7 + 10*x + 5*x^2)/((-1+-x)^5*(1+x))
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Contribution from Vaclav Kotesovec, Sep 1 2012: (Start)
Empirical: G.f.: -4*x^3*(7 + 10*x + 5*x^2)/((-1+x)^5*(1+x))
Empirical: a(n) = 1/4 - 10*n/3 + 23*n^2/3 - 20*n^3/3 + 11*n^4/6 - (-1)^n/4
(End)
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_R. H. Hardin (rhhardin(AT)att.net) _ Apr 10 2011
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R. H. Hardin, <a href="/A188778/b188778.txt">Table of n, a(n) for n = 1..42</a>