A182547 -id:A182547 - cp's OEIS frontend

A179948 Continued fraction for Pi^gamma, where gamma is the Euler-Mascheroni constant.

1, 1, 14, 1, 2, 4, 1, 23, 2, 13, 2, 2, 1, 22, 1, 6, 14, 1, 2, 6, 1, 2, 40, 1, 3, 1, 1, 3, 2, 1, 6, 1, 5, 1, 1, 1, 1, 2, 9, 2, 1, 3, 2, 1, 2, 1, 1, 2, 5, 1, 1, 6, 6, 2, 1654, 4, 1, 5, 1, 12, 1, 5, 1, 2, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 6, 1, 2, 3, 1, 2, 2, 1, 3, 4, 1, 4, 2, 2, 5, 5, 1, 1, 22, 3, 1, 9, 1, 1, 10

Offset: 0

Michel Lagneau, Aug 03 2010

			Pi^gamma = 1.9362556334196744600139... = 1 + 1/(1 + 1/(14 + 1/(1 + 1/(2 + ...)))).

K. Y. Choong, D. E. Daykin and C. R. Rathbone, Regular continued fractions for pi and gamma, Math. Comp., 25 (1971), 403.

Cf. A001620 (gamma), A182547 (decimal expansion).

with(numtheory): Digits := 300: convert(evalf(Pi^gamma(0)), confrac);

contfrac(Pi^Euler) \\ Michel Marcus, Oct 11 2017

Offset changed by Andrew Howroyd, Jul 07 2024

A342934 Decimal expansion of gamma^(1/gamma), where gamma is the Euler-Mascheroni constant.

Original entry on oeis.org

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

Offset: 0

Christoph B. Kassir, Aug 30 2021

			0.385948254719841058037365008117537208453571562501405965467694054181966575...

Michael Ian Shamos, Shamos's catalog of the real numbers, (2011).

Cf. A001620, A098907, A345066, A346589, A073004, A182547, A182470, A073018.

Maple
```
Digits := 100; evalf(gamma^(1/gamma));
```

RealDigits[EulerGamme^(1/EulerGamma), 10, 100][[1]]

PARI
```
Euler^(1/Euler)
```

A348362 Decimal expansion of gamma^gamma, where gamma is the Euler-Mascheroni constant.

Original entry on oeis.org

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

Offset: 0

Christoph B. Kassir, Oct 14 2021

			0.7281831374925430411492169277934906172895559804281200678987723450693...

Michael Ian Shamos, Shamos's catalog of the real numbers, (2011).

Cf. A001620, A345066, A346589, A073004, A182547, A182470, A073018.

R:= RealField(100); EulerGamma(R)^EulerGamma(R);

Maple
```
Digits := 100; evalf(gamma^gamma);
```

RealDigits[EulerGamma^EulerGamma, 10, 100][[1]]

PARI
```
Euler^Euler
```

cp's OEIS Frontend

A179948 Continued fraction for Pi^gamma, where gamma is the Euler-Mascheroni constant.

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A342934 Decimal expansion of gamma^(1/gamma), where gamma is the Euler-Mascheroni constant.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Maple

Mathematica

PARI

A348362 Decimal expansion of gamma^gamma, where gamma is the Euler-Mascheroni constant.

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Author

Keywords

Examples

Links

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Programs

Magma

Maple

Mathematica

PARI