A243152 a(n) = the digit that is repeated exactly n times in the string A243151(n)^n.

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

Offset

1,3

Comments

In the event of a tie, choose the smaller integer.

Links

Table of n, a(n) for n=1..90.

Example

A243151(2) = 11. So A243151(2)^2 = 121. Since the digit 1 is the one repeated two times, a(2) = 1.

Prog

(Python)
def a(n):
  for k in range(10**5):
    if k%10 !=0:
      count = 0
      for i in range(10):
        if str(k**n).count(str(i)) == n:
          return i
n = 1
while n < 100:
  print(a(n), end=', ')
  n+=1

Crossrefs

Cf. A243151.

Sequence in context: A158606 A021065 A262041 * A093754 A135935 A263183

Adjacent sequences: A243149 A243150 A243151 * A243153 A243154 A243155

Keyword

nonn,base

Author

Derek Orr, May 31 2014

Status

approved