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.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..70.

Benoit Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.

Benoit Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, arXiv:math/0305308 [math.NT], 2003.

Example

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.

Crossrefs

Cf. A079000, A080752.

Sequence in context: A018221 A071278 A079772 * A080257 A331201 A368459

Adjacent sequences: A080728 A080729 A080730 * A080732 A080733 A080734

Keyword

easy,nonn

Author

Matthew Vandermast, Mar 08 2003

Status

approved