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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.
4
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
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
KEYWORD
nonn
AUTHOR
Philippe Deléham, Aug 09, 2003
STATUS
approved