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A080731
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a(1)=1; a(2)=6; for n > 2, a(n) is taken as the smallest positive integer greater than a(n-1) such that the condition "n is a member of the sequence if and only if a(n) is odd" is satisfied.
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2
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1, 6, 8, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98
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OFFSET
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1,2
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COMMENTS
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Increases according to a pattern analogous to the one for A079000.
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LINKS
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Table of n, a(n) for n=1..70.
B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)
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EXAMPLE
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Because a(2)=6, a(6)=13 is the next odd member of the sequence after 1; terms a(3)-a(5) are the smallest even numbers greater than 6, in order.
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CROSSREFS
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Cf. A079000, A080752.
Sequence in context: A018221 A071278 A079772 * A080257 A331201 A050199
Adjacent sequences: A080728 A080729 A080730 * A080732 A080733 A080734
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KEYWORD
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easy,nonn
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AUTHOR
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Matthew Vandermast, Mar 08 2003
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STATUS
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approved
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