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.

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A199741 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.0642302228710730261002141143294370961885395132859...

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, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.06, 1.07}, WorkingPrecision -> 110]
RealDigits[r]   (* A199741 *)

Extensions

Name corrected by Sean A. Irvine, Jan 12 2025

A199742 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			0.797775593301396564734083229129024544418428941...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -1; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
RealDigits[r]   (* A199742 *)

Extensions

Name corrected by Sean A. Irvine, Jan 12 2025

A199775 Decimal expansion of x>0 satisfying 2*x^2 - 2*x*cos(x) = 3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.331486959335040503327363069917339543025...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.33, 1.34}, WorkingPrecision -> 110]
RealDigits[r]   (* A199775 *)
RealDigits[x/.FindRoot[2 x^2-2 x Cos[x]==3 Sin[x],{x,1.3},WorkingPrecision->120],10,120][[1]] (* Harvey P. Dale, Jul 06 2025 *)
  • PARI
    solve(x=1,2,2*x^2-2*x*cos(x)-3*sin(x)) \\ Charles R Greathouse IV, Dec 28 2011

A199776 Decimal expansion of x>0 satisfying 2*x^2-2*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			0.98037684190956145171171788026939630337700...

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, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110]
RealDigits[r]   (* A199776 *)

A199777 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.48054633175491203776764305792327587329853...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -3; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.48, 1.49}, WorkingPrecision -> 110]
RealDigits[r]   (* A199777 *)

A199778 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.370680972604893485791120806880290432983646027...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r]   (* A199778 *)

A199779 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.243578521107135046994576200717955788132001...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -3; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.24, 1.25}, WorkingPrecision -> 110]
RealDigits[r]    (* A199779 *)

A199780 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.094187451479344881855560890902485166...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -3; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.09, 1.10}, WorkingPrecision -> 110]
RealDigits[r]   (* A199780 *)

A199781 Decimal expansion of x>0 satisfying 2*x^2-4*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.3988068938949032597912381189837913840285...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -4; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.39, 1.40}, WorkingPrecision -> 110]
RealDigits[r]     (* A199781 *)

A199782 Decimal expansion of x>0 satisfying 2*x^2-4*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 10 2011

Keywords

Comments

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

Examples

			1.171257300342562956184612500539206894059373...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]
RealDigits[r]     (* A199782 *)
Previous Showing 61-70 of 98 results. Next

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