Why didn't House go to Kutner's funnerel/cremation?

I think he didn't go because he deals with things in his own way and not in the typical sense that society does.

Going to Kutner's ホーム instead was his way of mourning and understanding his death. Also House doesn't agree with the religious ceremonies, and going there would be hypocritical.

xoxo

House doesn't do social gatherings ;)

and besides, I think it shows both his disapproval for Kutner's action (like Taub) and his frustration for not being able to see it coming.