Warning, this is the answer to the puzzle above. If you are working on it you may not want to look, or you might.

The answers from the bottom up are.

He is alone, so he is playing solitaire. The seven cards are the sequence that he would deal if he did not shuffle the deck before he dealt.

So we see that the keys are that it's solitaire and that it's the deal that is the sequence.

In the next sequence the first card dealt is an ace, the next card facing up is the 8 and it is the eigth card that is dealt. The other's in the sequence are also the number on the units up to card number 28, which is the last 8.

The counting sequence is the key to the next clue too.

In this sequence however we skip a step of the progression (where we might go 1234567, 123456, 71234, 5....) and count out the deal 1234567, 2234567, 3234567, 4.... which gives us ace 2 7 5 2 5 last number 7 each number being the number that hits the counted number.

The hardest clue requires you to know a little more than I know right here. There is a classic stack to a deck of cards that makes the deck look perfectly random it's stacked such that the cards run Spades, Diamonds, Clubs, Hearts and start at ace and jump by 3 numbers. So the first card is Ace of Spades, the second card is the 4 of Diamonds the third is the 7 of Clubs and the fourth is the 10 of Hearts, the fifth card is the King of Spades and the its 3,6,9, Queen. The eigth card then is the 9 of Diamonds that is the second card in our sequence. Like I said, this is trivia, and hard trivia to boot, if you don't know this particular stack, you're not going to be able to figure out the answer. I am under the impression that this is a classic stack, I just forget what the name of it is.

The last card is the 4 of Diamonds. The next card displayed is the third card from the top of the deck of undealt cards. 4 to 7, 10, King Diamond to club, heart Spade. When our player sees the King of Spades he knows for certain that he is playing with a stacked deck, and so he kills the cheater (as Billy did to Stagger Lee).

Thanks for asking. If I send this into Games magazine, you can amaze your friends by knowing the answer!

Added later, The stack is called the Si Stebbins stack

http://www.expertvillage.com/video/14734_sistebbins-setup.htm and the classic start would be Clubs then hearts spades diamonds.. Mine still works and would work if I just shifted the spades to clubs etc (that's the beauty of a stacked deck) The video also says that this stack is the classic.