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ROSECODE 195

A Fractal Sequence

Philippe_57721 · Programming ·

The application T operates on a sequence S as:
T(S) = {1, S[1], 2, S[2], ..., S[n], n+1}

For instance :
T({10, 20, 30}) = {1, 10, 2, 20, 3, 30, 4}

Consider the infinite sequence S = T(T(T(T(T(... ({1})))) // T is applied infinitly

What is S[12345678910111213]?

[My timing: < 100 ms]