A324691 - OEIS

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A324691

List of all starting positions for which all moves away from zero occur at negative positions, and at least one such move occurs, 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.

2, 8, 14, 18, 23, 26, 35, 41, 42, 53, 65, 75, 89, 103, 104, 117, 134, 152, 168, 187, 188, 209, 228, 238, 251, 275, 296, 297, 323, 350, 362, 375, 404, 434, 445, 462, 494

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..36.

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: A056715 A160556 A105610 * A117104 A082933 A353466

Adjacent sequences: A324688 A324689 A324690 * A324692 A324693 A324694

KEYWORD

nonn

AUTHOR

David Nacin, Mar 11 2019

STATUS

approved