happening by or resulting from coincidence; by chance: a coincidental meeting.
existing or occurring at the same time.

1790–1800; coincident + -al1

coincidentally, coincidently [koh-in-si-duhnt-lee] , adverb
noncoincidental, adjective
noncoincidentally, adverb
uncoincidental, adjective
uncoincidentally, adverb Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
Cite This Source Link To coincidentally
World English Dictionary
coincidental (kəʊˌɪnsɪˈdɛntəl)
of or happening by a coincidence; fortuitous

coincidentally (kəʊˌɪnsɪˈdɛntəlɪ)
(sentence modifier) by a coincidence; fortuitously

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
Coincidentally, a department chairman had written with a similar request a few
  weeks earlier.
Perhaps not coincidentally, both are of great significance to conservatism as a
  theoretical tradition and historical practice.
Not so coincidentally, that obfuscation seems deliberate somehow on the
  author's part.
The hydrogen atom has two energy levels that coincidentally seem to have the
  same energy.
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