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.

A301863 Decimal expansion of the probability of intersection of 2 random chords in a circle, where each chord is selected by 2 random points within the circle.

Original entry on oeis.org

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

Views

Author

Amiram Eldar, Mar 28 2018

Keywords

Examples

			0.67810680544962158338542317342198988238288749714861...

Links

Crossrefs

Cf. A301862, A301864, A301865.

Programs

  • Mathematica
    RealDigits[1/3 + 245/(72*Pi^2), 10, 100][[1]]
  • PARI
    1/3 + 245/(72*Pi^2) \\ Altug Alkan, Mar 28 2018

Formula

1/3 + 245/(72*Pi^2)

A301864 Decimal expansion of the probability of intersection of 2 random chords in a sphere when they are projected onto a plane that passes the center, where each chord is selected by 2 random points within the sphere.

Original entry on oeis.org

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

Views

Author

Amiram Eldar, Mar 28 2018

Keywords

Examples

			0.72775418543436709139292411039475642544602329673801...

Links

Crossrefs

Cf. A301862, A301863, A301865.

Programs

  • Mathematica
    RealDigits[1/3 + 7007/(1800*Pi^2), 10, 100][[1]]
  • PARI
    1/3 + 7007/(1800*Pi^2) \\ Altug Alkan, Mar 28 2018

Formula

1/3 + 7007/(1800*Pi^2)

A301865 Decimal expansion of the probability that 2 planes, each passes through 3 random points inside a sphere, will intersect within the sphere.

Original entry on oeis.org

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

Views

Author

Amiram Eldar, Mar 28 2018

Keywords

Comments

The problem was proposed and solved by Enoch Beery Seitz in 1883.

Examples

			0.90498647894587498063636944964469884094259718856766...

References

  • Stanley Rabinowitz, Problems and Solutions from the Mathematical Visitor 1877-1896, MathPro Press, 1991, pp. 173-174.

Links

  • Enoch Beery Seitz, Problem 215, The Mathematical Visitor, Vol. 2, No. 3 (1883), p. 58-59.

Crossrefs

Cf. A301862, A301863, A301864.

Programs

  • Mathematica
    RealDigits[(63/64)^4*(5*Pi/16)^2, 10, 100][[1]]
  • PARI
    (63/64)^4*(5*Pi/16)^2 \\ Altug Alkan, Mar 28 2018

Formula

Equals (63/64)^4*(5*Pi/16)^2.

Extensions

Offset corrected by Artur Jasinski, Jun 01 2025
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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