A080808 a(1) = 4, a(n)= smallest n-th power obtained by inserting digits anywhere in a(n-1).

4, 49, 4096, 3748096, 4932784804069376, 44934932784038660743085694310776796224

Offset: 1

Author

Amarnath Murthy, Mar 22 2003

Keywords

• base
• more
• nonn

Comments

a(7) > 10^49. A simple heuristic argument suggests that a(7) has > .999 probability of having between 88 and 99 digits. - David Wasserman, Dec 28 2007

Crossrefs

Cf. A080514, A080515, A080516, A080807, A080809, A080810, A080811, A080812, A097661.

Formula

a(n) = A097661(n)^n.

Extensions

More terms from Ray G. Opao, Sep 20 2004