|
Search: id:A007064
|
|
|
| A007064 |
|
Numbers not of form "nearest integer to n*tau", tau=(1+sqrt(5))/2.
(Formerly M3298)
|
|
+0
7
|
|
| 1, 4, 7, 9, 12, 14, 17, 20, 22, 25, 27, 30, 33, 35, 38, 41, 43, 46, 48, 51, 54, 56, 59, 62, 64, 67, 69, 72, 75, 77, 80, 82, 85, 88, 90, 93, 96, 98, 101, 103, 106, 109, 111, 114, 117, 119, 122, 124, 127, 130, 132, 135
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
First column of Stolarsky array.
Comment from Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 04, 2003: this sequence and A057843 are very similar - this can be seen if the terms equal to 4 are aligned.
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
C. Kimberling, "Interspersions and dispersions," Proceedings of the American Mathematical Society 117 (1993) 313-321.
C. Kimberling, "Stolarsky interspersions," Ars Combinatoria 39 (1995) 129-138.
K. B. Stolarsky, A set of generalized Fibonacci sequences such that each natural number belongs to exactly one, Fib. Quart., 15 (1977), 224.
|
|
LINKS
|
C. Kimberling, Interspersions
N. J. A. Sloane, Classic Sequences
|
|
FORMULA
|
a(n) =floor[n*(1+tau)-tau/2] =floor[n*2.6180...-0.8090...]. - Henry Bottomley (se16(AT)btinternet.com), Sep 03 2001
|
|
CROSSREFS
|
Complement of A007067. Cf. A035506.
Sequence in context: A048973 A092861 A007072 this_sequence A086824 A080574 A007066
Adjacent sequences: A007061 A007062 A007063 this_sequence A007065 A007066 A007067
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein (mira(AT)math.berkeley.edu)
|
|
|
Search completed in 0.002 seconds
|
