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%I #21 Jul 31 2015 12:22:52
%S 1,0,1,2,9,24,57,140,376,1016,2692,7020,18369,48344,127465,335510,
%T 882081,2319136,6100393,16049440,42220168,111053856,292109320,
%U 768373144,2021186393,5316647448,13985104873,36786882378,96765680857,254536684328
%N Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0}.
%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 Alois P. Heinz, <a href="/A079997/b079997.txt">Table of n, a(n) for n = 0..1000</a>
%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_14">Index entries for linear recurrences with constant coefficients</a>, signature (1, 3, 0, 6, 10, 0, -12, -10, -2, 0, 0, -1, 1, 1).
%F a(n) = a(n-1)+3*a(n-2)+6*a(n-4)+10*a(n-5)-12*a(n-7)-10*a(n-8)-2*a(n-9)-a(n-12)+a(n-13)+a(n-14)
%F G.f.: -(x^8+x^7-x^5-2*x^4+x^3-2*x^2-x+1)/(x^14 +x^13 -x^12 -2*x^9 -10*x^8 -12*x^7 +10*x^5 +6*x^4 +3*x^2 +x-1).
%t LinearRecurrence[{1,3,0,6,10,0,-12,-10,-2,0,0,-1,1,1},{1,0,1,2,9,24,57,140,376,1016,2692,7020,18369,48344},40] (* _Harvey P. Dale_, Nov 27 2013 *)
%Y Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
%Y Column k=3 of A259776.
%Y Cf. A260081.
%K nonn,easy
%O 0,4
%A _Vladimir Baltic_, Feb 17 2003
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