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Search: id:A003160
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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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+0
4
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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; listen)
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OFFSET
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1,4
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REFERENCES
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L. Carlitz, R. Scoville and V. E. Hoggatt, Jr., Representations for a special sequence, Fib. Quart., 10 (1972), 499-518, 550.
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FORMULA
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a(n) is asymptotic to n/2.
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PROGRAM
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(PARI) a(n)=if(n<3, 1, n-a(a(n-1))-a(a(n-2)))
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CROSSREFS
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Cf. A005206.
Sequence in context: A087793 A030411 A132913 this_sequence A060740 A123273 A073425
Adjacent sequences: A003157 A003158 A003159 this_sequence A003161 A003162 A003163
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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Edited by Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 01 2003
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