A236685 Numbers n such that n^A062518(n) is missing more than one digit.

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.

Links

Table of n, a(n) for n=1..51.

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

Adjacent sequences: A236682 A236683 A236684 * A236686 A236687 A236688

Keyword

nonn,base

Author

Derek Orr, Jan 29 2014

Status

approved