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 A187051 Number of 7-step one or two space at a time bishop's tours on an n X n board summed over all starting positions. 1
 0, 0, 0, 400, 14024, 86608, 285048, 668176, 1272720, 2110944, 3180724, 4475176, 5989600, 7722744, 9674608, 11845192, 14234496, 16842520, 19669264, 22714728, 25978912, 29461816, 33163440, 37083784, 41222848, 45580632, 50157136, 54952360 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row 7 of A187046. LINKS R. H. Hardin, Table of n, a(n) for n = 1..35 FORMULA Empirical: a(n) = 109360*n^2 - 1219576*n + 3362248 for n>11. Conjectures from Colin Barker, Apr 20 2018: (Start) G.f.: 4*x^4*(100 + 3206*x + 11434*x^2 + 16724*x^3 + 14708*x^4 + 9182*x^5 + 3066*x^6 - 531*x^7 - 1721*x^8 - 1175*x^9 - 313*x^10) / (1 - x)^3. a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>14. (End) EXAMPLE Some solutions for 4 X 4: ..0..1..0..3....0..2..0..0....0..2..0..7....0..3..0..7....0..7..0..0 ..5..0..2..0....3..0..6..0....3..0..6..0....2..0..5..0....3..0..6..0 ..0..4..0..7....0..5..0..1....0..5..0..1....0..6..0..4....0..4..0..1 ..0..0..6..0....7..0..4..0....0..0..4..0....0..0..1..0....5..0..2..0 CROSSREFS Cf. A187046. Sequence in context: A192076 A006764 A108034 * A231288 A210262 A151608 Adjacent sequences:  A187048 A187049 A187050 * A187052 A187053 A187054 KEYWORD nonn AUTHOR R. H. Hardin, Mar 02 2011 STATUS approved

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Last modified January 28 13:34 EST 2022. Contains 350656 sequences. (Running on oeis4.)