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A088876
Smallest positive-integer string not explicitly embedded (in a normal left-to-right fashion) in the full decimal expansion of n^(n^n).
1
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.
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
KEYWORD
nonn,base
AUTHOR
Hans Havermann, Nov 27 2003
STATUS
approved