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 A213088 The Manhattan distance to the origin while traversing the first quadrant in a taxicab geometry. 0
 0, 1, 2, 1, 2, 3, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 6, 7, 8, 9, 10, 11, 12, 11, 10, 9, 8, 7, 6, 7, 8, 9, 10, 11, 12, 13, 14, 13, 12, 11, 10, 9, 8, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 15, 14, 13, 12, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS PROG (Python) def f(x, y):     if not x and y % 2:         y = y + 1     elif not y and not x % 2:         x = x + 1     elif x == y:         if x % 2:             x = x - 1         else:             y = y - 1     elif y < x:         if x % 2:             y = y + 1         else:             y = y - 1     else:         if y % 2:             x = x - 1         else:             x = x + 1     return x, y res = [] x = y = 0 for i in range(100):     res.append(str(x + y))     x, y = f(x, y) print ', '.join(res) CROSSREFS Sequence in context: A030307 A175792 A196686 * A169809 A214962 A076258 Adjacent sequences:  A213085 A213086 A213087 * A213089 A213090 A213091 KEYWORD nonn,walk AUTHOR Jens AhlstrÃ¶m, Jun 05 2012 STATUS approved

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