|
Search: id:A080588
|
|
|
| A080588 |
|
a(n) is smallest nonnegative integer which is consistent with sequence being monotonically increasing and satisfying a(a(n)) = 4n. |
|
+0
3
|
|
| 0, 2, 4, 5, 8, 12, 13, 14, 16, 17, 18, 19, 20, 24, 28, 29, 32, 36, 40, 44, 48, 49, 50, 51, 52, 53, 54, 55, 56, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 84, 88, 92, 96, 100, 104, 108, 112, 113, 114, 115, 116, 120, 124, 125
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Equivalently: 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 a multiple of 4".
The sequence of even numbers shares many of the properties of this sequence.
|
|
REFERENCES
|
J.-P. Allouche, N. Rampersad and J. Shallit, On integer sequences whose first iterates are linear, Aequationes Math. 69 (2005), 114-127
|
|
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)
Index entries for sequences of the a(a(n)) = 2n family
|
|
FORMULA
|
a(a(n)) = 4n. a(2^k) = 2^(k+1).
|
|
CROSSREFS
|
a(n) = A080591(n-1) + 1, n >= 1. Cf. A079000, A080591, A080589.
Sequence in context: A080136 A080033 A007379 this_sequence A032850 A063465 A035001
Adjacent sequences: A080585 A080586 A080587 this_sequence A080589 A080590 A080591
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Feb 23 2003
|
|
|
Search completed in 0.002 seconds
|
