Out of Bounds?

[Burtis449]

National Federation rules.
A1 is dribbling near the sideline when he loses his balance and steps on the line or actually runs a few steps out of bounds. His hand is never in contact with the ball while he is out of bounds. The ball continues to bounce along inbounds. A1 regains his balance come inbounds and continues to bounce the already bouncing ball.(He does not pick up the bouncing ball) Is this a good play or is out of bounce the correct call here? I need a case book or rule book reference if possible. Thanks.