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Search: id:A079965
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| A079965 |
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Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,3}. |
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+0
1
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| 1, 0, 1, 1, 1, 3, 3, 5, 8, 10, 17, 24, 35, 54, 77, 116, 172, 252, 377, 555, 822, 1220, 1801, 2671, 3953, 5849, 8666, 12823, 18987, 28113, 41612, 61615, 91214, 135037, 199929, 295976, 438193, 648734, 960420, 1421893, 2105059, 3116482, 4613879, 6830695
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OFFSET
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0,6
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COMMENT
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Number of compositions (ordered partitions) of n into elements of the set {2,3,5,6}.
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REFERENCES
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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.
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FORMULA
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Recurrence: a(n) = a(n-2)+a(n-3)+a(n-5)+a(n-6) G.f.: -1/(x^6+x^5+x^3+x^2-1)
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CROSSREFS
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Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
Sequence in context: A015723 A116645 A039872 this_sequence A098353 A073060 A087343
Adjacent sequences: A079962 A079963 A079964 this_sequence A079966 A079967 A079968
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KEYWORD
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nonn
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AUTHOR
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Vladimir Baltic (baltic(AT)galeb.etf.bg.ac.yu), Feb 19 2003
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