Web Listing 1: Roy’s Solution
WITH Eight(i) AS
(SELECT 1 UNION ALL 
 SELECT 2 UNION ALL
 SELECT 3 UNION ALL
 SELECT 4 UNION ALL
 SELECT 5 UNION ALL
 SELECT 6 UNION ALL
 SELECT 7 UNION ALL
 SELECT 8)
SELECT A.i as a, B.i as b, C.i as c, D.i as d,
       E.i as e, F.i as f, g.i as g, H.i as h
  FROM Eight as A
  JOIN Eight as B
    ON B.i <> A.i
   and (B.i - A.i) NOT IN (-1, +1)
  JOIN Eight as C
    ON C.i NOT IN (A.i, B.i)
   AND (C.i - A.i) NOT IN (-2, +2)
   AND (C.i - B.i) NOT IN (-1, +1)
  JOIN Eight as D
    ON D.i NOT IN (A.i, B.i, C.i)
   AND (D.i - A.i) NOT IN (-3, +3)
   AND (D.i - B.i) NOT IN (-2, +2)
   AND (D.i - C.i) NOT IN (-1, +1)
  JOIN Eight as E
    ON E.i NOT IN (A.i, B.i, C.i, D.i)
   AND (E.i - A.i) NOT IN (-4, +4)
   AND (E.i - B.i) NOT IN (-3, +3)
   AND (E.i - C.i) NOT IN (-2, +2)
   AND (E.i - D.i) NOT IN (-1, +1)
  JOIN Eight as F
    ON F.i NOT IN (A.i, B.i, C.i, D.i, E.i)
   AND (F.i - A.i) NOT IN (-5, +5)
   AND (F.i - B.i) NOT IN (-4, +4)
   AND (F.i - C.i) NOT IN (-3, +3)
   AND (F.i - D.i) NOT IN (-2, +2)
   AND (F.i - E.i) NOT IN (-1, +1)
  JOIN Eight as G
    ON G.i NOT IN (A.i, B.i, C.i, D.i, E.i, F.i)
   AND (G.i - A.i) NOT IN (-6, +6)
   AND (G.i - B.i) NOT IN (-5, +5)
   AND (G.i - C.i) NOT IN (-4, +4)
   AND (G.i - D.i) NOT IN (-3, +3)
   AND (G.i - E.i) NOT IN (-2, +2)
   AND (G.i - F.i) NOT IN (-1, +1)
  JOIN Eight as H
    ON H.i NOT IN (A.i, B.i, C.i, D.i, E.i, F.i, G.i)
   AND (H.i - A.i) NOT IN (-7, +7)
   AND (H.i - B.i) NOT IN (-6, +6)
   AND (H.i - C.i) NOT IN (-5, +5)
   AND (H.i - D.i) NOT IN (-4, +4)
   AND (H.i - E.i) NOT IN (-3, +3)
   AND (H.i - F.i) NOT IN (-2, +2)
   AND (H.i - G.i) NOT IN (-1, +1)
 ORDER BY a, b, c, d, e, f, g;