A088876 Smallest positive-integer string not explicitly embedded (in a normal left-to-right fashion) in the full decimal expansion of n^(n^n).

2, 2, 1, 10, 108, 1065, 10699, 1000005, 10000013, 2

Offset

1,1

Comments

The ninth term, 10000013, is the smallest length-8 string not found embedded in the 369693100 digits of 9^9^9. To be rigorous, all length-7 strings (still) need to be shown to exist in the expansion.

Links

Table of n, a(n) for n=1..10.

Example

4^(4^4) contains at least one of every decimal digit, but none of its zeros is preceded by a one. Thus "10" is the smallest positive integer not embedded in the decimal form of that number.

Mathematica

Table[c = 1; While[StringPosition[ToString[i^i^i], ToString[c], 1] != {}, c++ ]; c, {i, 1, 10}]

Crossrefs

Cf. A002488.

Sequence in context: A262348 A307093 A327087 * A346078 A014846 A100942

Adjacent sequences: A088873 A088874 A088875 * A088877 A088878 A088879

Keyword

nonn,base

Author

Hans Havermann, Nov 27 2003

Status

approved