[chj]

Is it possible to find a certain encoded formula of PI inside the PI digits itself, given its length?

[lqet]

Do you mean in the computed 202T digits of Pi, on in in the infinite sequence of Pi digits? In case of the latter: s̶u̶r̶e̶, probably, if Pi is normal, any finite sequence of digits is contained somewhere in Pi, so it would contain (in encoded form) any closed formula and any program, book, or piece of music ever written.

E: As the comments have pointed out, this requires the conjecture that Pi is normal to be true, was has not been proven or disproven yet.

[jagthebeetle]

I thought this wasn't actually mathematically established - the related property would be whether or not pi is normal.

[Q_is_4_Quantum]

Is this known to be true? Its obviously not true for arbitrary irrational numbers

[chj]

I meant the computed digits. Probably unlikely