How to delete the line after a search pattern, globally with vi?

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http://unix.stackexchange.com – Assume I have a big file, ~1k lines, and I need to delete the line after some pattern, lets call it: somePatern. Conditions: cannot be done by hand (no searching -- /somePattern, and/or manually moving down one line and deleting). preferably a single liner. line after the line that contains the pattern has to be gone (no empty line) has to be UNIX compatible (I use Debian but need it for UNIX -- great if works on both) Also if anyone has a link to a site where I can learn this and more regex stuff that be awesome! (But not a beginners type of tut, I have that down, courtesy of vim (HowTos)