A239683 Number of digits in decimal expansion of n^5.

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

Offset

0,3

Links

Table of n, a(n) for n=0..80.

Formula

a(n) = A055642(n^5).

a(n) = k log n + O(1) where k = 2.1714... = 5/log 10. - Charles R Greathouse IV, Apr 01 2014

Example

a(1) = 1 because 1^5 = 1, which has only 1 digit.
a(5) = 4 because 5^5 = 3125, which has 4 digits.

Mathematica

Join[{1}, IntegerLength[Range[80]^5]] (* Harvey P. Dale, Jan 31 2025 *)

Prog

(PARI) vector(110, n, #digits(n^5)) \\ Joerg Arndt, Mar 24 2014

Crossrefs

Cf. A000584.

Sequence in context: A030411 A194817 A211675 * A132913 A278814 A003160

Adjacent sequences: A239680 A239681 A239682 * A239684 A239685 A239686

Keyword

nonn,base,easy,changed

Author

Lorianne Kwak, Mar 24 2014

Status

approved