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 A075852 Number of permutations s of {1,2,...,n} such that |s(i)-i|>3 for each i=1,2,...,n. 7
 1, 0, 0, 0, 0, 0, 0, 0, 1, 16, 436, 6984, 114124, 1799688, 29125117, 486980182, 8490078104, 154750897552, 2951968964768, 58917663227568, 1229367602071416, 26787823838035750, 608794318333169289, 14411810690642972432 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,10 COMMENTS a(n) equals the permanent of the n X n matrix with 0's along the main diagonal, the subdiagonal, the superdiagonal, the sub-subdiagonal, the super-superdiagonal, the sub-sub-subdiagonal, the super-super-superdiagonal, and 1's everywhere else. - John M. Campbell, Jul 09 2011 LINKS MAPLE b:= proc(s) option remember; (n-> `if`(n=0, 1, add(       `if`(abs(n-i)>3, b(s minus {i}), 0), i=s)))(nops(s))     end: a:= n-> b({\$1..n}): seq(a(n), n=0..15);  # Alois P. Heinz, Jan 25 2019 MATHEMATICA a[0] = 1; a[n_] := a[n] = If[n < 8, 0, SparseArray[{Band[{1, 1}] -> 0, Band[{2, 1}] -> 0, Band[{3, 1}] -> 0, Band[{4, 1}] -> 0, Band[{1, 2}] -> 0, Band[{1, 3}] -> 0, Band[{1, 4}] -> 0}, {n, n}, 1] // Permanent]; Table[Print[n, " ", a[n]]; a[n], {n, 0, 23}] (* Jean-François Alcover, May 01 2019 *) CROSSREFS Cf. A001883, A075851. Sequence in context: A118994 A223686 A000489 * A260853 A068792 A229583 Adjacent sequences:  A075849 A075850 A075851 * A075853 A075854 A075855 KEYWORD nonn AUTHOR Reiner Martin (reinermartin(AT)hotmail.com), Oct 15 2002 EXTENSIONS More terms from Vladimir Baltic, Vladeta Jovovic, Jan 04 2003 a(21) from Alois P. Heinz, Jul 04 2015 a(22)-a(23) from Alois P. Heinz, Jan 22 2019 a(0)=1 prepended by Alois P. Heinz, Jan 25 2019 STATUS approved

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Last modified January 27 17:58 EST 2020. Contains 331296 sequences. (Running on oeis4.)