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A240069 The number n^k has all 10 decimal digits starting at k = a(n), or a(n) = 0 if 10 digits are not possible. 1
0, 169, 107, 85, 66, 65, 62, 57, 54, 0, 42, 52, 38, 35, 35, 43, 28, 26, 45, 169, 30, 25, 51, 24, 30, 32, 29, 29, 46, 107, 29, 19, 25, 35, 19, 33, 26, 18, 42, 85, 24, 20, 21, 30, 40, 33, 16, 30, 17, 66, 30, 30, 31, 19, 18, 34, 20, 32, 28, 65, 27, 20, 25, 29, 18, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
It appears that numbers of the form 2 * 10^i have the longest period, 169.
LINKS
MATHEMATICA
mx = 1000; Table[s = Table[Length[Union[IntegerDigits[n^k]]], {k, 0, mx}]; pos = Position[s, 10]; If[pos == {}, 0, 1 + mx - Position[Differences[Reverse[s]], _?(# != 0 &)][[1, 1]]], {n, 100}]
CROSSREFS
Cf. A137214 (number of distinct decimal digits in 2^n).
Sequence in context: A297048 A003929 A343269 * A184035 A044869 A260055
KEYWORD
nonn,base
AUTHOR
T. D. Noe, Apr 01 2014
STATUS
approved

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Last modified February 28 19:33 EST 2024. Contains 370400 sequences. (Running on oeis4.)