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 A079985 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={-1,0,1}. 0
 1, 0, 0, 0, 1, 2, 4, 0, 4, 10, 29, 40, 64, 88, 221, 420, 800, 1280, 2336, 4260, 8325, 15000, 27200, 48360, 89541, 164430, 303300, 549120, 1001156, 1824342, 3350169, 6122640, 11189504, 20391280, 37266329, 68097480, 124548224, 227452928, 415474816 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 REFERENCES 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. LINKS Vladimir Baltic, On the number of certain types of strongly restricted permutations, Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (2010), 119-135 FORMULA a(n) = a(n-1) +a(n-2) -a(n-3) +3*a(n-4) +2*a(n-5) +2*a(n-6) -6*a(n-7) -2*a(n-8) +2*a(n-9) -3*a(n-10) -a(n-11) -a(n-12) +a(n-13) +a(n-14) G.f.: -(x^8+x^7-x^6-x^5-2*x^4+x^3-x^2-x+1)/(x^14 +x^13 -x^12 -x^11 -3*x^10 +2*x^9 -2*x^8 -6*x^7 +2*x^6 +2*x^5 +3*x^4 -x^3 +x^2 +x-1) CROSSREFS Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014. Sequence in context: A221255 A341862 A256487 * A059226 A221655 A221087 Adjacent sequences:  A079982 A079983 A079984 * A079986 A079987 A079988 KEYWORD nonn AUTHOR Vladimir Baltic, Feb 17 2003 STATUS approved

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Last modified January 24 00:05 EST 2022. Contains 350515 sequences. (Running on oeis4.)