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

Author

Philippe Deléham, Aug 09 2003

Keywords

• nonn

Examples

			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.

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