Riffle Shuffle

Level pending

The pack contains N cards numbered 1 to N in order, it is then cut at its middle and split into two packs consisting each of N/2 cards, the two packs are now held side by side in hands, face downwards, and the cards are dropped one by one alternately from the two packs till they get exhausted, now they are gathered up, and this constitutes one round of RIFFLE SHUFFLE.

How many distinct possible permutations of cards are possible 38 cards?

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