A080031 a(n) is taken to be the smallest positive integer not already present which is consistent with the condition "n is a member of the sequence if and only if a(n) is congruent to 2 mod 3".

1, 2, 5, 4, 8, 11, 7, 14, 17, 10, 20, 23, 13, 26, 29, 16, 32, 35, 19, 38, 41, 22, 44, 47, 25, 50, 53, 28, 56, 59, 31, 62, 65, 34, 68, 71, 37, 74, 77, 40, 80, 83, 43, 86, 89, 46, 92, 95, 49, 98, 101, 52, 104, 107, 55, 110, 113, 58, 116, 119, 61, 122, 125, 64, 128, 131, 67

Offset: 0

Author

N. J. A. Sloane, Mar 14 2003

Keywords

• easy
• nonn

Comments

A permutation of all positive non-multiples of 3; also a permutation of A080030. - Matthew Vandermast, Mar 21 2003

Links

• 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)

Crossrefs

Cf. A079000, A079313, A080029, A080030.

Formula

a(3m)=3m+1, a(3m+1)=6m+2, a(3m+2)=6m+5. [corrected by Georg Fischer, Jun 08 2022]

Extensions

More terms from Matthew Vandermast, Mar 21 2003