Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #6 Oct 09 2017 23:21:42
%S 0,0,0,0,0,2,15,102,854,7852,79867,890348,10799874,141647368,
%T 1997815108,30156348228,485117044074,8285798537070,149759338727585,
%U 2855791585334774,57300933786123530,1206811729692494152,26619251746350630597,613691499376088985144
%N Number of odd permutations s of {1,2,...,n} such that |s(i)-i| > 1 for each i=1,2,...,n.
%H Dmitry Efimov, <a href="https://arxiv.org/abs/1702.05655">Determinants of generalized binary band matrices</a>, arXiv:1702.05655 [math.RA], 2017.
%F a(n) = (A001883(n) - d(n))/2, where d(n) = (3-n)/3 if n = 0 mod 3, d(n) = (n-1)/3 if n = 1 mod 3, d(n) = 0 if n = 2 mod 3.
%Y Cf. A001883, A293044.
%K nonn
%O 0,6
%A _Eric M. Schmidt_, Oct 09 2017