A245726 The digit occurring n times in A225842.

0, 1, 5, 7, 7, 2, 4, 7, 9, 7, 0, 3, 6, 6, 1, 2, 4, 4, 8, 8, 0, 8, 8, 0, 9, 1, 8, 8, 6, 8, 0, 8, 5, 6, 9, 5, 9, 7, 9, 9, 0, 1, 0, 3, 1, 3, 8, 3, 7, 6, 0, 5, 0, 6, 6, 1, 7, 7, 4, 5, 0, 8, 6, 4, 9, 1, 0, 1, 2, 0, 0, 1, 4, 6, 4, 2, 6, 5, 1, 7, 0, 9, 2, 7, 3, 1, 8, 1, 7, 7, 0, 4, 1, 1, 0, 9, 1

Offset

0,3

Comments

The digit occurring n times in a smaller power of n than any other digit. In case of a tie the smallest digit is chosen. For example, a(2) = 5 for 2^16 = 65536. - Jens Kruse Andersen, Aug 01 2014

Links

Jens Kruse Andersen, Table of n, a(n) for n = 0..1000

Prog

(Python)
def a(n):
..b = '0123456789'
..for k in range(10**4):
....s = str(n**k)
....for i in b:
......if s.count(i) >= n:
........return int(i)
n = 0
while n < 150:
..print(a(n), end=', ')
..n += 1

Crossrefs

Cf. A225842.

Sequence in context: A001620 A242220 A357068 * A101456 A084823 A117034

Adjacent sequences: A245723 A245724 A245725 * A245727 A245728 A245729

Keyword

nonn,base

Author

Derek Orr, Jul 30 2014

Status

approved