Number of times the digit S000173(n) appears in the decimal form of 5^n.

1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3, 5, 5, 4, 4, 3, 5, 4, 5, 6, 5, 6, 5, 4, 4, 6, 6, 6, 6, 5, 7, 8, 6, 6, 6, 6, 5, 7, 6, 7, 10, 9, 9, 7, 7, 6, 6, 5, 7, 8, 8, 7, 9, 6, 7, 8, 8, 7, 8, 11, 9, 11, 9, 9, 8, 10, 8, 9, 9, 10, 9, 10

0

The most common digit appears more often than the expected (n/10)*log10(5).

T. D. Noe, Plot of 10001 terms

T. D. Noe, Table of 10001 terms

(Mma) Table[s = DigitCount[5^n]; Max[s], {n, 0, 100}]

nonn,base

T. D. Noe, Aug 06 2014