A324690 List of all starting positions for which all moves away from zero, if any, occur at negative positions, according to the following rules. On the k-th step (k=1,2,3,...) move a distance of k in the direction of zero. If the number landed on has been landed on before, move a distance of k away.

0, 1, 2, 3, 6, 8, 10, 14, 15, 18, 21, 23, 26, 28, 35, 36, 41, 42, 45, 53, 55, 65, 66, 75, 78, 89, 91, 103, 104, 105, 117, 120, 134, 136, 152, 153, 168, 171, 187, 188, 190, 209, 210, 228, 231, 238, 251, 253, 275, 276, 296, 297, 300, 323, 325, 350, 351, 362

Offset

0,3

Links

Table of n, a(n) for n=0..57.

Example

Staring at 2, the points visited are 2,1,-1,-4,0 and the only move away from zero, from -1 to -4, occurs at a negative position.  Thus 2 is a term.

Crossrefs

Cf. A228474, A324660-A324692.

Sequence in context: A316571 A165780 A051935 * A181486 A179785 A246445

Adjacent sequences: A324687 A324688 A324689 * A324691 A324692 A324693

Keyword

nonn

Author

David Nacin, Mar 11 2019

Status

approved