A324689 List of all starting positions for which no position is revisited 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, 4, 5, 6, 8, 9, 10, 14, 15, 18, 19, 21, 22, 23, 24, 26, 27, 28, 35, 36, 42, 45, 53, 54, 55, 65, 66, 75, 76, 77, 78, 89, 90, 91, 104, 105, 117, 118, 119, 120, 134, 135, 136, 152, 153, 168, 169, 170, 171, 188, 190, 209, 210, 228, 229, 230, 231, 251

Offset

0,3

Links

Table of n, a(n) for n=0..60.

Example

Starting at zero the only point visited is zero, starting at one the points are 1 and 0, and starting at two the points visited are 2,1,-1,-4, and 0.  In all three cases, no position is revisited, thus 0,1, and 2 are all included on the list.

Crossrefs

Cf. A228474, A324660-A324692.

Sequence in context: A049997 A226857 A256007 * A280578 A303878 A039170

Adjacent sequences: A324686 A324687 A324688 * A324690 A324691 A324692

Keyword

nonn

Author

David Nacin, Mar 11 2019

Status

approved