A197739 -id:A197739 - cp's OEIS frontend

A197834 Decimal expansion of the maximum of (cos(x))^2+(sin(3Pix))^2.

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

Offset: 0

Clark Kimberling, Oct 19 2011

For a discussion and guide to related sequences, see A197739.

			x=1.9727766369395095624370979608845877218621869...

Cf. A197739, A197833.

Mathematica
```
(See the program at A197833.)
```

A197835 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3Pix))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

For a discussion and guide to related sequences, see A197739.

			x=0.37044944414827985514389551306364427777...

Cf. A197739, A197833.

Mathematica
```
(See the program at A197833.)
```

A197836 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3Pix))^2^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

For a discussion and guide to related sequences, see A197739.

			x=0.93763454927695396835868770999265033656...

Cf. A197739, A197833.

Mathematica
```
(See the program at A197833.)
```

A197837 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3Pix))^2=1.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

For a discussion and guide to related sequences, see A197739.

			x=0.37289916342233097692706112853739941609750115...

Cf. A197739, A197833.

Mathematica
```
(See the program at A197833.)
```

A197838 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3Pix))^2=1/2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

For a discussion and guide to related sequences, see A197739.

			x=0.95537243109321665844006707500013716136821...

Cf. A197739, A197833.

Mathematica
```
(See the program at A197833.)
```

A197588 Decimal expansion of the maximum of (cos(x))^2+(sin(3x))^2.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Oct 18 2011

For a discussion and guide to related sequences, see A197739.

			x=1.7698003589195010193455317073359432741968023...

Cf. A197739.

(See the program at A197739.)
RealDigits[1 + 4/(3*Sqrt[3]), 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)

1 + 4/(3*sqrt(3)) \\ Stefano Spezia, May 03 2025

A197590 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 18 2011

For a discussion and guide to related sequences, see A197739.

			x=0.81428544842054341525317686676548785153377347...

Cf. A197739.

Mathematica
```
(See the program at A197739.)
```

A197755 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 18 2011

For a discussion and guide to related sequences, see A197739.

			x=0.89372722662672136917374641547499380829422...

Cf. A197739.

Mathematica
```
(See the program at A197739.)
```

A197757 Duplicate of A197488.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

dead

			0.92188408801586078481996924886181063657299567...

Cf. A197739

cp's OEIS Frontend

A197834 Decimal expansion of the maximum of (cos(x))^2+(sin(3*Pi*x))^2.

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A197835 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3*Pi*x))^2.

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A197836 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3*Pi*x))^2^2.

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A197837 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3*Pi*x))^2=1.

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Mathematica

A197838 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3*Pi*x))^2=1/2.

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Mathematica

A197588 Decimal expansion of the maximum of (cos(x))^2+(sin(3x))^2.

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PARI

A197590 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

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A197755 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3x))^2.

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Mathematica

A197757 Duplicate of A197488.

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A197834 Decimal expansion of the maximum of (cos(x))^2+(sin(3Pix))^2.

A197835 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(3Pix))^2.

A197836 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(3Pix))^2^2.

A197837 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3Pix))^2=1.

A197838 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(3Pix))^2=1/2.