cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 31-40 of 98 results. Next

A199600 Decimal expansion of x<0 satisfying x^2+2*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.655538299539694507185866246343993073924211...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 1; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.7, -.6}, WorkingPrecision -> 110]
RealDigits[r]  (* A199600 *)

A199601 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			2.3064783471048026877059064396692092466587...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 1; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.3, 2.4}, WorkingPrecision -> 110]
RealDigits[r]  (* A199601 *)

A199602 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			2.54009241804274736385079439399483437...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 1; b = 2; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 2.5, 2.6}, WorkingPrecision -> 110]
RealDigits[r]   (* A199602 *)

A199621 Decimal expansion of x<0 satisfying 2*x+cos(x)=0.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.
This is the abscissa point x = 0.45018... where a parabola y=x^2+a and the curve y=sin(x) touch at exactly one point, a=0.23246557... - R. J. Mathar, Aug 27 2024

Examples

			-0.450183611294873573036538696762681827320...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = 1; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.46, -.45}, WorkingPrecision -> 110]
RealDigits[r]  (* A199621 *)

A199622 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.521770533630415907602226717523937882...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .52, .53}, WorkingPrecision -> 110]
RealDigits[r]  (* A199622 *)

A199623 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.9922917949161176981841193385017574750...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = 1; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .99, 1}, WorkingPrecision -> 110]
RealDigits[r]  (* A199623 *)

A199624 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 08 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.33887388985548526406255415475435291...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = 1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]  (* A199624 *)

A199625 Decimal expansion of x<0 satisfying 2*x^2+2*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 09 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.425711423236282955027850230790341326928658...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = 2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.43, -.42}, WorkingPrecision -> 110]
RealDigits[r]  (* A199625 *)

A199662 Decimal expansion of x<0 satisfying 3*x+cos(x)=0.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 09 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.3167508287712211718867961806109617979...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = 1; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
RealDigits[r]  (* A199662 *)

A199663 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 09 2011

Keywords

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.3396312603191788753674666624788080...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .33, .34}, WorkingPrecision -> 110]
RealDigits[r]    (* A199663 *)
Previous Showing 31-40 of 98 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.