Can you unlock this pattern? n°1.

Algebra Level pending

What is the next number in this sequence?

1,1,1,1,2,1,1,3,3,1,1,4,6,4,1,1,5,10,10,5,1 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1

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