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Search: id:A079962
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| A079962 |
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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={1,3}. |
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4
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| 1, 1, 1, 2, 3, 5, 9, 14, 22, 36, 58, 94, 153, 247, 399, 646, 1045, 1691, 2737, 4428, 7164, 11592, 18756, 30348, 49105, 79453, 128557, 208010, 336567, 544577, 881145, 1425722, 2306866, 3732588, 6039454, 9772042, 15811497, 25583539, 41395035
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OFFSET
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0,4
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COMMENT
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Number of compositions (ordered partitions) of n into elements of the set {1,3,5,6}.
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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-1)+a(n-3)+a(n-5)+a(n-6). G.f.: -1/(x^6+x^5+x^3+x-1)
a(n+1)/a(n) -> phi=(1+Sqrt[5])/2. - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 13 2006
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CROSSREFS
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Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
Sequence in context: A023567 A076027 A056686 this_sequence A124502 A026746 A004699
Adjacent sequences: A079959 A079960 A079961 this_sequence A079963 A079964 A079965
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KEYWORD
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nonn
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AUTHOR
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Vladimir Baltic (baltic(AT)matf.bg.ac.yu), Feb 19 2003
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