woo got it right! Explanation & answer in spoiler.
Spoiler:
13 cards
A a 2 b 3 c 4 d 5 e 6 f 7
Because we want every odd card on the original run through to be in order. Then we are left with the cards a b c d e f but this time the first card goes back to the bottom so we want even numbers to be in the order
a 8 c 9 e T
b=8 d=9 f=T
Even cards again as last one was a turn up so the first card goes to the bottom
a J e
c = J
That means we need the next two cards to be in order as the next card is put in the sequence.
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