A256609 -id:A256609 - cp's OEIS frontend

A256165 Decimal expansion of log(Gamma(1/3)).

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

Offset: 0

Iaroslav V. Blagouchine, Mar 17 2015

			0.985420646927767069187174036977961391735556496385885...

G. C. Greubel, Table of n, a(n) for n = 0..5000

Cf. A073005 (Gamma(1/3)), A256127 (second Malmsten integral), A256128 (third Malmsten integral).

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

evalf(log(GAMMA(1/3)),120); # Vaclav Kotesovec, Mar 17 2015

RealDigits[Log[Gamma[1/3]],10,105][[1]] (* Vaclav Kotesovec, Mar 17 2015 *)

log(gamma(1/3)) \\ Michel Marcus, Mar 17 2015

A256166 Decimal expansion of log(Gamma(1/4)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Mar 17 2015

			1.288022524698077457370610440219717295925377565112860...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. A068466 (Gamma(1/4)), A115252 (first Malmsten's integral).

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

evalf(log(GAMMA(1/4)),120); # Vaclav Kotesovec, Mar 17 2015

RealDigits[Log[Gamma[1/4]],10,105][[1]] (* Vaclav Kotesovec, Mar 17 2015 *)

log(gamma(1/4)) \\ Michel Marcus, Mar 17 2015

A255306 Decimal expansion of log(Gamma(1/8)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Mar 18 2015

			2.0194183575537963453202905211670995899482809521344496...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. A203142 (Gamma(1/8)), A255188 (first generalized Stieltjes constant at 1/8, gamma_1(1/8)).

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/8)),100);
```
Mathematica
```
RealDigits[Log[Gamma[1/8]],10,100][[1]]
```
PARI
```
log(gamma(1/8))
```

A255888 Decimal expansion of log(Gamma(1/6)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Mar 18 2015

			1.71673343507824046052784630958793075727937748710540556...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. A175379 (Gamma(1/6)), A254349 (first generalized Stieltjes constant at 1/6, gamma_1(1/6)).

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

evalf(log(GAMMA(1/6)),100);
evalf((1/2)*log(3)-(1/3)*log(2)-(1/2)*log(Pi)+2*log(GAMMA(1/3)), 120);

Mathematica
```
RealDigits[Log[Gamma[1/6]],10,100][[1]]
```
PARI
```
log(gamma(1/6))
```

Equals (1/2)*log(3) - (1/3)*log(2) - (1/2)*log(Pi) + 2*log(Gamma(1/3)).

A256167 Decimal expansion of log(Gamma(1/5)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Mar 17 2015

			1.524063822430784524881056493926302192565933737406403...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. A175380 (Gamma(1/5)), A251866 (gamma_1(1/5)).

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

evalf(log(GAMMA(1/5)),120); # Vaclav Kotesovec, Mar 17 2015

RealDigits[Log[Gamma[1/5]],10,105][[1]] (* Vaclav Kotesovec, Mar 17 2015 *)

log(gamma(1/5)) \\ Michel Marcus, Mar 17 2015

A256610 Decimal expansion of log(Gamma(1/9)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Apr 04 2015

			2.142731800376693104880407884896452638386509294121518...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/9)),100);
```
Mathematica
```
RealDigits[Log[Gamma[1/9]],10,100][[1]]
```
PARI
```
log(gamma(1/9))
```

A256611 Decimal expansion of log(Gamma(1/11)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Apr 04 2015

			2.351934610798792760463680957649386963365693018602581...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/11)),100);
```

RealDigits[Log[Gamma[1/11]],10,100][[1]]

PARI
```
log(gamma(1/11))
```

A256612 Decimal expansion of log(Gamma(1/10)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Apr 04 2015

			2.252712651734205959869701646368495118615627222294953...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256615 (k=24), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/10)),100);
```

RealDigits[Log[Gamma[1/10]],10,100][[1]]

PARI
```
log(gamma(1/10))
```

A256614 Decimal expansion of log(Gamma(1/16)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Apr 04 2015

			2.739631621946203418585729650082232089144944407273537...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256615 (k=24), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/16)),100);
```

RealDigits[Log[Gamma[1/16]],10,100][[1]]

PARI
```
log(gamma(1/16))
```

A256615 Decimal expansion of log(Gamma(1/24)).

Original entry on oeis.org

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

Offset: 1

Iaroslav V. Blagouchine, Apr 04 2015

			3.155402877381144722774664455739805690458351588844024...

G. C. Greubel, Table of n, a(n) for n = 1..5000

Cf. decimal expansions of log(Gamma(1/k)): A155968 (k=2), A256165 (k=3), A256166 (k=4), A256167 (k=5), A255888 (k=6), A256609 (k=7), A255306 (k=8), A256610 (k=9), A256612 (k=10), A256611 (k=11), A256066 (k=12), A256614 (k=16), A256616 (k=48).

Maple
```
evalf(log(GAMMA(1/24)),100);
```

RealDigits[Log[Gamma[1/24]],10,100][[1]]

PARI
```
log(gamma(1/24))
```

cp's OEIS Frontend

A256165 Decimal expansion of log(Gamma(1/3)).

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A256166 Decimal expansion of log(Gamma(1/4)).

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A255306 Decimal expansion of log(Gamma(1/8)).

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A255888 Decimal expansion of log(Gamma(1/6)).

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Formula

A256167 Decimal expansion of log(Gamma(1/5)).

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A256610 Decimal expansion of log(Gamma(1/9)).

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A256611 Decimal expansion of log(Gamma(1/11)).

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A256612 Decimal expansion of log(Gamma(1/10)).