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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: Gaston Maire

Gaston Maire's wiki page.

Gaston Maire has authored 1 sequences.

A303296 Digital roots of fourth powers A000583.

Original entry on oeis.org

1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9, 1, 7, 9, 4, 4, 9, 7, 1, 9
Offset: 1

Author

Gaston Maire and students, Apr 21 2018

Keywords

Comments

This sequence is related to A056992, the digital roots of the squares, and also presents a period of 9, in this case repeat [1, 7, 9, 4, 4, 9, 7, 1, 9].
a(n) = 9 if n is a multiple of 3.
Replace 4 with 7 and 7 with 4 in A056992. - Omar E. Pol, Apr 21 2018
a(n) is also the decimal expansion of 598165730/333333333. - Enrique Pérez Herrero, Nov 13 2021

Crossrefs

Programs

  • Mathematica
    Table[FixedPoint[Total[IntegerDigits[#]] &, n^4], {n, 90}]
  • PARI
    a(n) = (n^4-1)%9+1; \\ Michel Marcus, Apr 22 2018

Formula

a(n) = A010888(A000583(n)) = a(n - 9).