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A003160
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a(1)=a(2)=1, a(n)=n-a(a(n-1))-a(a(n-2)).
(Formerly M0446)
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3
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1, 1, 1, 2, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9, 9, 9, 10, 11, 12, 12, 12, 13, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29, 30, 30, 30, 31, 32, 33, 33, 33, 34, 35, 36, 36, 36, 37, 37, 37, 38
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Sequence of indices n where a(n-1)<a(n) appears to be given by A003156. [From Joerg Arndt, May 11 2010]
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REFERENCES
| L. Carlitz, R. Scoville and V. E. Hoggatt, Jr., Representations for a special sequence, Fib. Quart., 10 (1972), 499-518, 550.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n) is asymptotic to n/2.
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PROG
| (PARI) a(n)=if(n<3, 1, n-a(a(n-1))-a(a(n-2)))
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CROSSREFS
| Cf. A005206.
Sequence in context: A030411 A194817 A132913 * A060740 A145339 A123273
Adjacent sequences: A003157 A003158 A003159 * A003161 A003162 A003163
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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
| Edited by Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 01 2003
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