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
Examples
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.
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)
Comments