With pen and paper, digits that follow the first occurrence of a sequence in pi

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Let's suppose that we know where the first occurrence of a sequence of n digits appears in the number pi decimal section. For example, the first occurrence of the sequence 26091955 appears in the decimal position 107,607,919.

Is there any way to calculate manually (pen and paper) the decimal digits that would follow? (in the example, it'd be 25916325541684811916)