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 1-3 of 3 results.

A074956 Continued fraction for arithmetic-geometric mean of Pi and e.

Original entry on oeis.org

2, 1, 12, 1, 1, 6, 1, 136, 11, 1, 1, 4, 1, 5, 2, 9, 1, 2, 1, 4, 3, 2, 4, 2, 3, 2, 1, 46, 7, 1, 6, 2, 1, 3, 14, 4, 6, 8, 6, 3, 1, 2, 1, 6, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 7, 1, 1, 6, 1, 3, 9, 10, 1, 1, 227, 1, 2, 1, 1, 9, 2, 7, 1, 2, 2, 1, 2, 1, 3, 1, 2, 1, 5, 1, 170, 1, 17, 1, 5, 2, 3, 10, 7, 1, 10, 1, 16
Offset: 0

Views

Author

Zak Seidov, Oct 05 2002

Keywords

Crossrefs

Cf. A074957 (decimal expansion).

Extensions

Offset changed by Andrew Howroyd, Jul 06 2024

A108127 Decimal expansion of arithmetic-geometric mean (AGM) of 1/Pi and 1/e.

Original entry on oeis.org

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

Views

Author

Zak Seidov, Jun 04 2005

Keywords

Examples

			0.342646325432856008238451479062017815816243181693126654...
		

Crossrefs

Cf. A074957.

Programs

  • Mathematica
    RealDigits[N[ArithmeticGeometricMean[1/Pi, 1/E], 130]][[1]]
  • PARI
    agm(exp(-1),1/Pi) \\ Charles R Greathouse IV, Mar 03 2016

Extensions

Offset corrected by Sean A. Irvine, May 24 2025

A342209 Decimal expansion of logarithmic mean of Pi and e.

Original entry on oeis.org

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

Views

Author

Gleb Koloskov, Mar 05 2021

Keywords

Comments

The logarithmic mean of Pi and e lies between the arithmetic and geometric means of Pi and e.

Examples

			2.9248335452376948992733592...
		

Crossrefs

Programs

  • Mathematica
    RealDigits[(Pi - E)/(Log[Pi] - 1), 10, 100][[1]] (* Amiram Eldar, Mar 06 2021 *)
  • PARI
    (Pi-exp(1))/(log(Pi)-1)

Formula

Equals (Pi-e)/(log(Pi)-1).
Showing 1-3 of 3 results.