A063572 Smallest power of 9 having n in its decimal representation.

5, 2, 3, 6, 5, 4, 4, 3, 2, 1, 11, 15, 18, 11, 6, 18, 17, 19, 13, 23, 9, 8, 14, 21, 12, 13, 26, 28, 12, 3, 8, 6, 13, 24, 10, 18, 12, 27, 9, 27, 10, 6, 9, 8, 6, 14, 8, 7, 9, 5, 18, 16, 18, 6, 13, 35, 4, 20, 13, 5, 11, 4, 23, 18, 12, 4, 17, 8, 24, 7, 22, 17, 3

Offset: 0

Author

Robert G. Wilson v, Aug 10 2001

Keywords

• nonn
• base

Comments

Variant of A062526. - R. J. Mathar, Dec 15 2008

Programs

Mathematica

a = {}; Do[k = 1; While[ StringPosition[ ToString[9^k], ToString[n] ] == {}, k++ ]; a = Append[a, k], {n, 0, 60} ]; a

Python

def a(n):
  target, k, pow9 = str(n), 1, 9
  while not target in str(pow9): k, pow9 = k+1, pow9*9
  return k
print([a(n) for n in range(73)]) # Michael S. Branicky, May 02 2021

Extensions

More terms from Michael S. Branicky, May 02 2021