A351208 -id:A351208 - cp's OEIS frontend

A351209 Decimal expansion of the 12th root of 3.

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

Offset: 1

Mark Andreas, Feb 07 2022

			1.0958726911352443801600191280725486527997513...

Index entries for algebraic numbers, degree 12.

Cf. A246710 (8th root), A011446 (9th root), A246711, (10th root), A351208 (11th root).

Maple
```
Digits:=100: evalf(3^(1/12));
```
Mathematica
```
RealDigits[3^(1/12), 10, 108][[1]]
```
PARI
```
sqrtn(3,12)
```

from sympy import integer_nthroot
def A351209(n): return integer_nthroot(3*10**(12*(n-1)),12)[0] % 10 # Chai Wah Wu, Mar 07 2022

Equals 3^(1/12).

A351211 Decimal expansion of the 14th root of 3.

Original entry on oeis.org

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

Offset: 1

Mark Andreas, Feb 07 2022

			1.0816334003527659585671688318749777839374638...

Index entries for algebraic numbers, degree 14.

Cf. A246711 (10th root), A351208 (11th root), A351209 (12th root), A351209 (13th root).

Maple
```
Digits:=100: evalf(3^(1/14));
```
Mathematica
```
RealDigits[3^(1/14), 10, 108][[1]]
```
PARI
```
sqrtn(3,14)
```

from sympy import integer_nthroot
def A351211(n): return integer_nthroot(3*10**(14*(n-1)),14)[0] % 10 # Chai Wah Wu, Mar 07 2022

Equals 3^(1/14).

A351210 Decimal expansion of the 13th root of 3.

Original entry on oeis.org

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

Offset: 1

Mark Andreas, Feb 07 2022

			1.0881822434633167374809461526062579626660268...

Cf. A011446 (9th root), A246711 (10th root), A351208 (11th root), A351209 (12th root).

Maple
```
Digits:=100: evalf(3^(1/13));
```
Mathematica
```
RealDigits[3^(1/13), 10, 108][[1]]
```
PARI
```
sqrtn(3,13)
```

from sympy import integer_nthroot
def A351210(n): return integer_nthroot(3*10**(13*(n-1)),13)[0] % 10 # Chai Wah Wu, Mar 07 2022

Equals 3^(1/13).

A351212 Decimal expansion of the 15th root of 3.

Original entry on oeis.org

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

Offset: 1

Mark Andreas, Mar 09 2022

			1.0759896247253458666946663627239770760895246...

Cf. A351208 (11th root), A351209 (12th root), A351210 (13th root), A351211 (14th root).

Maple
```
Digits:=100: evalf(3^(1/15));
```
Mathematica
```
RealDigits[3^(1/15), 10, 108][[1]]
```
PARI
```
sqrtn(3,15)
```

Equals 3^(1/15).

A351213 Decimal expansion of the 16th root of 3.

Original entry on oeis.org

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

Offset: 1

Mark Andreas, Mar 09 2022

			1.071075483072914469123247...

Cf. A351208 (11th root), A351209 (12th root), A351210 (13th root), A351211 (14th root), A351212 (15th root).

Maple
```
Digits:=100: evalf(3^(1/16));
```
Mathematica
```
RealDigits[3^(1/16), 10, 108][[1]]
```
PARI
```
sqrtn(3,16)
```

Equals 3^(1/16).

cp's OEIS Frontend

A351209 Decimal expansion of the 12th root of 3.

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A351211 Decimal expansion of the 14th root of 3.

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A351210 Decimal expansion of the 13th root of 3.

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A351212 Decimal expansion of the 15th root of 3.

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A351213 Decimal expansion of the 16th root of 3.

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