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 A324692 a(n) = partial sums of A324672. 33
 0, 0, 1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, -2, -1, 0, -1, -2, -3, -2, -1, 0, -1, -2, -1, -2, -3, -2, -1, 0, 1, 2, 3, 4, 3, 4, 5, 4, 3, 4, 3, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, -1, -2, -1, 0, 1, 2, 1, 0, -1, -2, -3, -4, -5, -4, -5, -6, -7, -6, -5, -4, -3, -2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,16 LINKS David Nacin, A324692 PROG (Python) import functools #Sequences A324660-A324691 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 sgn(x):     if x:         return x//abs(x)     return 0 @functools.lru_cache(maxsize=None) def A324672(n):     d = trip(n)     mx=max([i for i in d['spots']])     mn=min([i for i in d['spots']])     return sgn(mx+mn) #Actual sequence def a(n):     return sum(A324672(i) for i in range(n)) CROSSREFS Cf. A228474, A324660-A324692. Sequence in context: A037835 A116433 A106509 * A228110 A255175 A196199 Adjacent sequences:  A324689 A324690 A324691 * A324694 A324695 A324696 KEYWORD sign AUTHOR David Nacin, Mar 11 2019 STATUS approved

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Last modified April 25 23:48 EDT 2019. Contains 322465 sequences. (Running on oeis4.)