%I #15 Apr 16 2024 03:20:26
%S 1,1,1,3,9,19,38,84,193,430,940,2074,4609,10223,22611,50022,110780,
%T 245348,543189,1202511,2662417,5894961,13051820,28897016,63979205,
%U 141653762,313629217,694390210,1537413824,3403913006,7536438344
%N Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={1}.
%D D. H. Lehmer, Permutations with strongly restricted displacements. Combinatorial theory and its applications, II (Proc. Colloq., Balatonfured, 1969), pp. 755-770. North-Holland, Amsterdam, 1970.
%H Vladimir Baltic, <a href="http://pefmath.etf.rs/vol4num1/AADM-Vol4-No1-119-135.pdf">On the number of certain types of strongly restricted permutations</a>, Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (2010), 119-135
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,2,3,3,-2,-1,0,0,-1).
%F Recurrence: a(n) = a(n-1)+a(n-2)+2*a(n-3)+3*a(n-4)+3*a(n-5)-2*a(n-6)-a(n-7)-a(n-10).
%F G.f.: -(x^5+x^3+x^2-1)/(x^10+x^7+2*x^6-3*x^5-3*x^4-2*x^3-x^2-x+1).
%Y Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
%K nonn
%O 0,4
%A _Vladimir Baltic_, Feb 10 2003