Gift certificates to a take-out in their area. There are so many things to take care of in those first few days.
And the shock, especially if unexpected may send a person into near debilitating depression.
Maybe offering to pay for house cleaning for awhile.

Visit even though they may be horrible company.

So sorry for your loss. I'm here if you want to talk, cry, vent, remember.

I have a lot of facebook friends that I went to high school with who I haven't seen in years and so I will say, "I'm so sorry for your loss, my thoughts are with you and your family" If they are someone I'm closer to, like family or a close friend, I will add a comment that speaks of the departed's good qualities.

I have an old childhood friend going through chemo. I tell her I am thinking about her. Sorry to hear if family loss.

That works.

Its not easy to find words of encouragement on such circumstances (regardless of the media or face to face, etc). However, I have learned over the years how love ones appreciate kind words in those difficult times. Probably the worst thing one can say its to say nothing...

I'm sorry for your loss.