If you want to give up, this can actually be found in Sloane's on-line encyclopedia of integer sequences. In the search box, put 6, 2, 5, 5, 4, 5, 6, since the 4 is specified as being uncertain.
blackjack
<a href="http://c.casalemedia.com/c?s=51816&f=3&id=0" target="_blank"><img src="http://as.casalemedia.com/s?s=51816&u=http://perplexus.info&f=3&id=0&if=0" width="120" height="600" border="0"></a>
flooble's webmaster puzzle
re(2): I still can't see it.
