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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.
1

%I #11 Sep 01 2019 02:22:35

%S 2,8,14,18,23,26,35,41,42,53,65,75,89,103,104,117,134,152,168,187,188,

%T 209,228,238,251,275,296,297,323,350,362,375,404,434,445,462,494

%N 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.

%e 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.

%Y Cf. A228474, A324660-A324692.

%K nonn

%O 0,1

%A _David Nacin_, Mar 11 2019