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A236685
Numbers n such that n^A062518(n) is missing more than one digit.
0
14, 17, 43, 57, 75, 78, 93, 102, 138, 139, 149, 152, 165, 167, 176, 177, 196, 228, 248, 253, 265, 276, 289, 347, 351, 352, 357, 382, 395, 424, 430, 432, 437, 438, 449, 455, 456, 462, 477, 489, 492, 502, 511, 554, 570, 605, 634, 649, 656, 679, 682
OFFSET
1,1
COMMENTS
A062518(n) is the maximum power k such that k^n does not contain all ten decimal digits.
EXAMPLE
A062518(43) = 20. And 43^20 = 467056167777397914441056671494001 is missing an 8 and a 2. Thus, 43 is a member of this sequence.
PROG
(Python)
def PanDigNum(x):
..a = '1234567890'
..lst = []
..if DigitSum(x) == 1:
....return None
..for n in range(-200, 0):
....count = 0
....for i in a:
......if str(x**(-n)).count(i) > 0:
........count += 1
......else:
........lst.append(i)
....if count < len(a):
......if len(lst) > 1:
........return x
......else:
........break
CROSSREFS
Cf. A062518.
Sequence in context: A105189 A102816 A303305 * A165719 A154146 A113735
KEYWORD
nonn,base
AUTHOR
Derek Orr, Jan 29 2014
STATUS
approved