cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

User: Lorianne Kwak

Lorianne Kwak's wiki page.

Lorianne Kwak has authored 3 sequences.

A239684 Number of digits in the decimal expansion of n^4.

Original entry on oeis.org

1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
Offset: 0

Author

Lorianne Kwak, Mar 24 2014

Keywords

Examples

			For n=1, a(1)=1 because 1^4=1.
For n=5, a(5)=3 because 5^4=625.
		

Crossrefs

Cf. A055642.

Programs

  • Mathematica
    Join[{1},IntegerLength[Range[90]^4]] (* Harvey P. Dale, Sep 06 2015 *)

Formula

a(n) = A055642(n^4).

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

Original entry on oeis.org

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

Author

Lorianne Kwak, Mar 24 2014

Keywords

Examples

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

Crossrefs

Cf. A000584.

Programs

  • Mathematica
    Join[{1},IntegerLength[Range[80]^5]] (* Harvey P. Dale, Jan 31 2025 *)
  • PARI
    vector(110,n,#digits(n^5)) \\ Joerg Arndt, Mar 24 2014

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

A239504 Number of digits in the decimal expansion of n^10 (A008454).

Original entry on oeis.org

1, 1, 4, 5, 7, 7, 8, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19
Offset: 0

Author

Lorianne Kwak, Mar 20 2014

Keywords

Examples

			a(1) = 1, because 1^10 = 1.
a(2) = 4, because 2^10 = 1024.
		

Programs

  • Mathematica
    Join[{1},IntegerLength[Range[80]^10]] (* Harvey P. Dale, Jun 29 2021 *)
  • PARI
    a(n) = #Str(n^10); \\ Michel Marcus, Mar 21 2014

Formula

a(n) = floor(10*log_10(n))+1 for n>0, a(0) = 1.
a(n) = A055642(n^10).