chess.com is way ahead of you on this.
Weather Chess.com should allow computers to play with suspected chess cheaters?

http://www.chess.com/echess/game?id=111345314
Are there any restrictions when a player apparently used the best moves generated by a computer.
Or when a player analyzes an ongoing game with an engine?
But since you already analyzed it yourself with an engine, it doesn't matter that I spoil my engine analysis. 84% of his moves (excluding theoretical opening moves) were computer first choices.
But since it is an online game, it is hard to tell whether he generated it with an engine, or just took vast amounts of time for each move.

Your opponent probably has more cause for accusing you of cheating by discussing an in progress game in the forum and (by the sounds of it) analysing it with an engine than you do of him playing moves that do not look in any way extaordinary.
Is it only GMs who are expected to see hanging knights and intermediate moves now?!
http://www.chess.com/echess/game?id=111345314
Are there any restrictions when a player apparently used the best moves generated by a computer.
Hmmm... Ruy Lopez.

Those Indian nicknames seems quite interesting.
http://www.chess.com/members/view/024681012
OP is legit I guess.

Also, a player who has only played 30 games has massive variance in their rating so could easily be of a far higher level than their rating currently says. Most people who accuse others of cheating are just bad losers.

And I was responding to someone further down the thread and also don't accept random challenges from lower rated people, especially ones with purely numeric usernames

glamdring27 and MSC157--yield not to unmanliness, or be overcome by cowardice because it is not befitting a warrior and unworthy to you and that both you immediately cast off this unseemly, contemptible faint heartedness and prepare for battle.
1. To check the suspected player’s relative skill ranking, against the comparative model.
2. To get certain amount of game-data proof against the suspected cheater.
3. To enable chess.com to make fast and accurate judgement.
4. To analyze the game of the suspected cheater comparing human moves to computer moves and looking at statistical significance.