Artem Anisimov, like Atkinson, scored for the second game in a row for the Blue Jackets, who moved to 2-0 for the first time in five years.
Dano had his first NHL goal and points and Scott Hartnell and Ryan Johansen, who joined the Blue Jackets on Wednesday after a contract holdout, had two assists apiece.
Former Columbus captain Rick Nash picked up his third goal and Lee Stempniak also scored for the Rangers, who opened the season by splitting two road games.
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