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A006158
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a(n)=a(a(n-3))+a(n-a(n-3)).
(Formerly M0447)
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3
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1, 1, 1, 2, 3, 4, 4, 4, 5, 6, 6, 7, 8, 8, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 16, 16, 16, 16, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 29, 29, 29, 29, 30, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 34, 34, 35, 36, 37, 37, 38, 39, 40, 41
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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REFERENCES
| J. Arkin, D. C. Arney, L. S. Dewald and W. E. Ebel, Jr., Families of recursive sequences, J. Rec. Math., 22 (No. 22, 1990), 85-94.
B. W. Conolly, ``Meta-Fibonacci sequences,'' in S. Vajda, editor, Fibonacci and Lucas Numbers and the Golden Section. Halstead Press, NY, 1989, pp. 127-138.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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MAPLE
| a := proc(n) option remember: if 1 <= n and n <=3 then RETURN(1) fi: a(a(n-3)) +a(n-a(n-3)) end: for n from 1 to 100 do printf(`%d, `, a(n)) od:
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CROSSREFS
| Sequence in context: A173073 A073425 A087876 * A135414 A178770 A099479
Adjacent sequences: A006155 A006156 A006157 * A006159 A006160 A006161
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 20 2001
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