[seqfan] Just a quick (but hard?) funny sequence idea

[Felix Fröhlich]

Dear Sequence Fans,

just had the idea for the following funny sequence:

Least k > 1 such that the initial n digits in the decimal expansions of Pi
and Pi^k coincide, ignoring the decimal point.

a(1) = a(2) = 3, since Pi = 3.14159... and Pi^3 = 31.00627..., where first
two digits (31) coincide.

What are further terms of the sequence?

Best regards
Felix Fröhlich