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A080731 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. 2

%I #5 Mar 30 2012 17:27:18

%S 1,6,8,10,12,13,14,15,16,17,18,19,21,23,25,27,29,31,33,34,35,36,37,38,

%T 39,40,41,42,43,44,45,46,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,

%U 76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98

%N 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.

%C Increases according to a pattern analogous to the one for A079000.

%H B. Cloitre, N. J. A. Sloane and M. J. Vandermast, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">Numerical analogues of Aronson's sequence</a>, J. Integer Seqs., Vol. 6 (2003), #03.2.2.

%H B. Cloitre, N. J. A. Sloane and M. J. Vandermast, <a href="http://arXiv.org/abs/math.NT/0305308">Numerical analogues of Aronson's sequence</a> (math.NT/0305308)

%e 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.

%Y Cf. A079000, A080752.

%K easy,nonn

%O 1,2

%A _Matthew Vandermast_, Mar 08 2003

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)