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

Author

Derek Orr, Jan 29 2014

Keywords

• nonn
• base

Comments

A062518(n) is the maximum power k such that k^n does not contain all ten decimal digits.

Examples

			A062518(43) = 20. And 43^20 = 467056167777397914441056671494001 is missing an 8 and a 2. Thus, 43 is a member of this sequence.
		

Crossrefs

Cf. A062518.

Programs

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