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A005707
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a(1) = a(2) = a(3) = a(4) = 1, a(n) = a(a(n-1))+a(n-a(n-1)) for n >= 5.
(Formerly M0251)
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3
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1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 10, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 21, 22, 22, 23, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 27
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| It is known that a(n)-a(n-1)=0 or 1 (see the 1991 Monthly reference). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 06 2005
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REFERENCES
| Problem E3274, Amer. Math. Monthly, 95 (1988), 555.
Problem E3274, Amer. Math. Monthly, 98, No, 10, (1991), 958-959.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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MAPLE
| a[1]:=1: a[2]:=1: a[3]:=1: a[4]:=1: for n from 5 to 100 do a[n]:=a[a[n-1]]+a[n-a[n-1]] od: seq(a[n], n=1..100); (Deutsch)
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CROSSREFS
| Cf. A004001, A005350.
Sequence in context: A087817 A087836 A091497 * A087828 A110867 A006670
Adjacent sequences: A005704 A005705 A005706 * A005708 A005709 A005710
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 06 2005
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