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.

Showing 1-2 of 2 results.

A234518 Decimal expansion of log_12 (28/13).

Original entry on oeis.org

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

Views

Author

Jaroslav Krizek, Jan 03 2014

Keywords

Comments

Decimal expansion of maximal value of function alpha(n) = alpha-deviation from primality of number n = log_n(sigma(n)) - log_n(n+1) = log_n[sigma(n) / (n+1)] for n = 12, when alpha(12) = log_12(sigma(12)) - log_12(12+1) = log_12(28) - log_12(13) = log_12 (28/13) = 0,308766187…; alpha(p) = 0 for p = prime.

Examples

			0,3087661875664928997884010546628878661481631771557148…
		

Crossrefs

Programs

  • Mathematica
    RealDigits[Log[12,28/13],10,120][[1]] (* Harvey P. Dale, Apr 17 2022 *)
  • PARI
    log(28/13)/log(12) \\ Michel Marcus, Dec 11 2014

Formula

Decimal expansion of (A016651-A016636) / A016635.

A016456 Continued fraction for log(28).

Original entry on oeis.org

3, 3, 98, 10, 4, 17, 2, 1, 3, 10, 1, 1, 1, 1, 3, 8, 43, 1, 38, 2, 1, 1, 2, 2, 1, 11, 1, 1, 2, 1, 10, 12, 1, 72, 1, 3, 1, 2, 2, 2, 2, 1, 1, 8, 1, 1, 193, 7, 2, 1, 1, 5, 1, 6, 2, 1, 2, 1, 3, 1, 1, 10, 3, 1, 1, 2, 1, 6, 2, 1, 2, 1, 11, 1
Offset: 1

Views

Author

Keywords

Examples

			3.3322045101752039239398169... = 3 + 1/(3 + 1/(98 + 1/(10 + 1/(4 + ...)))). - _Harry J. Smith_, May 20 2009
		

Crossrefs

Cf. A016651 Decimal expansion. - Harry J. Smith, May 20 2009

Programs

  • Mathematica
    ContinuedFraction[Log[28],100] (* Harvey P. Dale, Jun 01 2018 *)
  • PARI
    { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(28)); for (n=1, 20000, write("b016456.txt", n, " ", x[n])); } \\ Harry J. Smith, May 20 2009
Showing 1-2 of 2 results.