A197739 -id:A197739 - cp's OEIS frontend

A197760 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(4x))^2.

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.6431719754211841595666562575358026803396...

Cf. A197739

Mathematica
```
(See the program at A197758.)
```

A197761 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(4x))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.7240025828336807449334718906891277765...

Cf. A197739.

Mathematica
```
(See the program at A197758.)
```

A197822 Decimal expansion of the maximum of (cos(x))^2+(sin(Pi*x))^2.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Oct 19 2011

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

			x=1.78720670318075061019803522098915727612...

Cf. A197739, A197821.

(See the program at A197821.)
RealDigits[FindMaximum[(Cos[x])^2+(Sin[Pi*x])^2,x,WorkingPrecision->120][[1]]][[1]] (* Harvey P. Dale, Sep 25 2015 *)

A197823 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(Pi*x))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.7844401928550228136035148117499042600...

Cf. A197739, A197821.

Mathematica
```
(See the program at A197821.)
```

A197824 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(Pi*x))^2^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.8633137731585437367435213693972074...

Cf. A197739, A197821.

Mathematica
```
(See the program at A197821.)
```

A197826 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(Pi*x))^2=1/2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.8936937889741651308171755502261199543...

Cf. A197739, A197821.

Mathematica
```
(See the program at A197821.)
```

A197828 Decimal expansion of the maximum of (cos(x))^2+(sin(2Pix))^2.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Oct 19 2011

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

			x=1.9402157446802530550270391562488526..

Cf. A197739, A197827.

Mathematica
```
(See the program at A197827.)
```

A197829 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(2Pix))^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.43689489152302811621555683424244209...

Cf. A197739, A197827.

Mathematica
```
(See the program at A197827.)
```

A197830 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(2Pix))^2^2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.912580550159278801287269871267704244...

Cf. A197739, A197827.

Mathematica
```
(See the program at A197827.)
```

A197832 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(2Pix))^2=1/2.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Oct 19 2011

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

			x=0.93688677415220551978799303095415426...

Cf. A197739, A197827.

Mathematica
```
(See the program at A197827.)
```

cp's OEIS Frontend

A197760 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(4x))^2.

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Mathematica

A197761 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(4x))^2.

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Mathematica

A197822 Decimal expansion of the maximum of (cos(x))^2+(sin(Pi*x))^2.

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Mathematica

A197823 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(Pi*x))^2.

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Mathematica

A197824 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(Pi*x))^2^2.

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Mathematica

A197826 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(Pi*x))^2=1/2.

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Crossrefs

Programs

Mathematica

A197828 Decimal expansion of the maximum of (cos(x))^2+(sin(2*Pi*x))^2.

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Mathematica

A197829 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(2*Pi*x))^2.

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Author

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Examples

Crossrefs

Programs

Mathematica

A197830 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(2*Pi*x))^2^2.

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Author

Keywords

Comments

Examples

Crossrefs

A197828 Decimal expansion of the maximum of (cos(x))^2+(sin(2Pix))^2.

A197829 Decimal expansion of least x>0 satisfying f(x)=m/2, where m is the maximal value of f(x)=(cos(x))^2+(sin(2Pix))^2.

A197830 Decimal expansion of least x>0 satisfying f(x)=m/3, where m is the maximal value of f(x)=(cos(x))^2+(sin(2Pix))^2^2.

A197832 Decimal expansion of least x>0 satisfying (cos(x))^2+(sin(2Pix))^2=1/2.