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 A187159 Number of 6-step one space at a time bishop's tours on an n X n board summed over all starting positions. 1
 0, 0, 0, 56, 456, 1588, 3288, 5556, 8392, 11796, 15768, 20308, 25416, 31092, 37336, 44148, 51528, 59476, 67992, 77076, 86728, 96948, 107736, 119092, 131016, 143508, 156568, 170196, 184392, 199156, 214488, 230388, 246856, 263892, 281496, 299668 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row 6 of A187155. LINKS R. H. Hardin, Table of n, a(n) for n = 1..50 FORMULA Empirical: a(n) = 284*n^2 - 1992*n + 3316 for n>4. Conjectures from Colin Barker, Apr 20 2018: (Start) G.f.: 4*x^4*(14 + 72*x + 97*x^2 - 41*x^3) / (1 - x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>7. (End) EXAMPLE Some solutions for 4 X 4: ..0..3..0..0....0..0..2..0....0..0..5..0....0..0..4..0....0..3..0..0 ..4..0..2..0....0..1..0..3....0..4..0..6....0..5..0..3....2..0..4..0 ..0..5..0..1....6..0..4..0....3..0..1..0....6..0..2..0....0..1..0..5 ..0..0..6..0....0..5..0..0....0..2..0..0....0..1..0..0....0..0..6..0 CROSSREFS Cf. A187155. Sequence in context: A287702 A008447 A076647 * A220048 A257707 A067234 Adjacent sequences:  A187156 A187157 A187158 * A187160 A187161 A187162 KEYWORD nonn AUTHOR R. H. Hardin, Mar 06 2011 STATUS approved

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Last modified July 19 17:03 EDT 2018. Contains 312779 sequences. (Running on oeis4.)