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 A324667 Starting at n, a(n) is the maximum negative point visited, or zero if no negative points are visited, 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 from zero instead. 0
 0, 0, -1, 0, -2, -1, 0, -1, -2, -1, 0, -3, -2, -1, -1, 0, -2, -1, -3, -2, -1, 0, -1, -3, -2, -1, -2, -1, 0, -6, -1, -1, -3, -2, -1, -1, 0, -4, -1, -1, -1, -1, -3, -2, -1, 0, -1, -2, -1, -3, -2, -1, -1, -2, -1, 0, -1, -1, -6, -1, -4, -3, -2, -1, -1, -1, 0, -3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS EXAMPLE For n=2, the points visited are 2,1,-1,-4,0.  As -1 is the larger of the two negative values, a(2) = -1. PROG (Python) #Sequences A324660-A324692 generated by manipulating this trip function #spots - positions in order with possible repetition #flee - positions from which we move away from zero with possible repetition #stuck - positions from which we move to a spot already visited with possible repetition def trip(n):     stucklist = list()     spotsvisited = [n]     leavingspots = list()     turn = 0     forbidden = {n}     while n != 0:         turn += 1         sign = n // abs(n)         st = sign * turn         if n - st not in forbidden:             n = n - st         else:             leavingspots.append(n)             if n + st in forbidden:                 stucklist.append(n)             n = n + st         spotsvisited.append(n)         forbidden.add(n)     return {'stuck':stucklist, 'spots':spotsvisited,                 'turns':turn, 'flee':leavingspots} def maxorzero(x):     if x:         return max(x)     return 0 #Actual sequence def a(n):     d = trip(n)     return maxorzero([i for i in d['spots'] if i < 0]) CROSSREFS Cf. A228474, A324660-A324692. Sequence in context: A285914 A096875 A194514 * A258260 A094713 A123517 Adjacent sequences:  A324664 A324665 A324666 * A324668 A324669 A324670 KEYWORD sign AUTHOR David Nacin, Mar 10 2019 STATUS approved

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Last modified July 29 17:41 EDT 2021. Contains 346346 sequences. (Running on oeis4.)