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Search: id:A081688
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| 0, 1, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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From P-positions in a certain game.
Comment from Eric Angelini (eric.angelini(AT)skynet.be), Aug 19 2008: The rule "monotonically increasing sequence where the size of each run of consecutive integers is given by the sequence itself" produces this sequence without the initial 0.
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LINKS
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A. S. Fraenkel, Home Page
A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.
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FORMULA
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Let a(n) = this sequence, b(n) = A081689. Then a(n) = mex{ a(i), b(i) : 0 <= i < n}, b(n) = b(n-1) + a(n) + 1. Apart from initial zero, complement of A081689.
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CROSSREFS
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Cf. A030124, A005228, A081689.
Sequence in context: A072225 A137689 A081690 this_sequence A118170 A039094 A051374
Adjacent sequences: A081685 A081686 A081687 this_sequence A081689 A081690 A081691
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2003
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