A086843 Odd numbers m such that the sequence defined by b(1) = m; for k>1, b(k) = floor(phi*b(k-1)), where phi = (1 + sqrt(5))/2, contains only odd numbers.

1, 7, 11, 13, 17, 21, 23, 27, 33, 37, 39, 43, 49, 53, 59, 63, 65, 69, 75, 79, 81, 85, 91, 95, 101, 105, 107, 111, 117, 121, 123, 127, 131, 133, 137, 143, 147, 149, 153, 159, 163, 169, 173, 175, 179, 185, 189, 191, 195, 199, 201, 205, 211, 215, 217, 221, 227, 231

Offset

1,2

Links

Table of n, a(n) for n=1..58.

Formula

Observation : a(n+1)-a(n) = 2, 4 or 6 for every n, a(n)=4n+O(1) and more precisely it seems that abs(a(n)-4n)<=7. Is the sequence a(n)-4n ultimately periodic ? Benoit Cloitre, Aug 10 2003

Example

For m = 1 we get 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
For m = 7 we get 7, 11, 17, 27, 43, 69, 111, 179, 289, 467, 755, ...

Crossrefs

Cf. A086844.

Sequence in context: A110583 A270999 A103486 * A260714 A049481 A175412

Adjacent sequences: A086840 A086841 A086842 * A086844 A086845 A086846

Keyword

nonn

Author

Philippe Deléham, Aug 09, 2003

Status

approved