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.

A264807 Decimal expansion of the positive root of x^(x^x) = Pi.

Original entry on oeis.org

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

Views

Author

Anders Hellström, Nov 25 2015

Keywords

Examples

			1.65017975076884835974468311992047637261868912534214824320808068128846...

Crossrefs

Cf. A000796, A264808.

Programs

  • Mathematica
    RealDigits[x /. FindRoot[x^(x^x) == Pi, {x, 1}, WorkingPrecision -> 105]][[1]] (* Amiram Eldar, Jun 25 2023 *)
  • PARI
    default(realprecision,2000);solve(x=0.01, 2, x^(x^x)-Pi)

A265131 Decimal expansion of positive x satisfying x^(x^x) = LambertW(1).

Original entry on oeis.org

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

Views

Author

Anders Hellström, Dec 02 2015

Keywords

Examples

			0.44334488735791507415980027937886886012254139652223...

Links

Crossrefs

Cf. A030178, A264807, A264808.

Programs

  • Mathematica
    RealDigits[x/.FindRoot[x^(x^x)==ProductLog[1],{x,1},WorkingPrecision-> 120]][[1]] (* Harvey P. Dale, Jul 19 2020 *)
  • PARI
    default(realprecision,2000);solve(x=0.001,3,x^(x^x)-lambertw(1))

A331790 Decimal expansion of the solution to x*e^(x*e^(x))=1.

Original entry on oeis.org

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

Views

Author

Connor Sponsler, Jan 25 2020

Keywords

Comments

Also the real solution to W(-log(x))=x where W(x) is the LambertW function.

Examples

			0.4706753747765085260786198361446493848000552943051975487850...

Crossrefs

Cf. A264808.

Programs

  • Mathematica
    RealDigits[x/.FindRoot[x*Exp[x*Exp[x]]-1,{x,0},WorkingPrecision-> 120]] [[1]] (* Harvey P. Dale, Sep 07 2020 *)
  • PARI
    solve(x=0.01, 1, x*exp(x*exp(x))-1) \\ Michel Marcus, Jan 26 2020

Formula

Equals log(A264808).

Extensions

Prior Mathematica program amended by Harvey P. Dale, Sep 07 2020
Showing 1-3 of 3 results.

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