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A080591
a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) is congruent to 3 mod 4".
2
1, 3, 4, 7, 11, 12, 13, 15, 16, 17, 18, 19, 23, 27, 28, 31, 35, 39, 43, 47, 48, 49, 50, 51, 52, 53, 54, 55, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 87, 91, 95, 99, 103, 107, 111, 112, 113, 114, 115, 119, 123, 124
OFFSET
0,2
COMMENTS
The sequence of odd numbers shares many of the properties of this sequence.
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)
FORMULA
a(a(n)) = 4n+3. a(2^k-1) = 2^(k+1)-1.
CROSSREFS
a(n) = A080588(n+1) - 1. Cf. A079000.
Sequence in context: A283428 A185506 A328379 * A291063 A047543 A030489
KEYWORD
easy,nonn
AUTHOR
N. J. A. Sloane, Feb 23 2003
STATUS
approved