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 11-20 of 106 results. Next

A198416 Decimal expansion of x>0 having x^2=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			x=1.9337537628270212533084756690906800565370...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 0; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.93, 1.94}, WorkingPrecision -> 110]
RealDigits[r] (* A198416 *)
  • PARI
    solve(x=1,2, x^2-4*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025

A198417 Decimal expansion of x>0 having x^2+x=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.795589873473925181806273259013035961...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]
RealDigits[r] (* A198417 *)
  • PARI
    solve(x=.7,1, x^2+x-2*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025

A198418 Decimal expansion of x>0 having x^2+x=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.26332144794936910667047593433000...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.26, 1.27}, WorkingPrecision -> 110]
RealDigits[r] (* A198418 *)
  • PARI
    solve(x=1,2, x^2+x-3*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025

A198419 Decimal expansion of x>0 having x^2+x=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.561510991074269121873683207376952329215...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.56, 1.57}, WorkingPrecision -> 110]
RealDigits[r] (* A198419 *)
  • PARI
    solve(x=1,2, x^2+x-4*sin(x)) \\ Charles R Greathouse IV, Jan 28 2025

A198420 Decimal expansion of x>0 having x^2-x=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.6175452860622547530274288138205252801...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = -1; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.6, 1.7}, WorkingPrecision -> 110]
RealDigits[r] (* A198420 *)

A198421 Decimal expansion of x>0 having x^2-x=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.9514875340956697765470738518775549185...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = -1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.9, 2.0}, WorkingPrecision -> 110]
RealDigits[r] (* A198421 *)

A198422 Decimal expansion of x>0 having x^2-x=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 24 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			2.157701771441438611437678711971731570551...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = -1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2.5}]
r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198422 *)

A198424 Decimal expansion of x>0 having x^2+2x=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 25 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-1.2357835607579307244452120871021674772...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198424 *)

A198425 Decimal expansion of x>0 having x^2+2x=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 25 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.7362321505547481995608918925890768129939...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]
RealDigits[r] (* A198425 *)

Extensions

a(89) onwards corrected by Georg Fischer, Aug 01 2021

A198426 Decimal expansion of x>0 having x^2+2x=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 25 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.1605918671900541573133082504330553363179713...

Links

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 1; b = 2; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.16, 1.17}, WorkingPrecision -> 110]
RealDigits[r] (* A198426 *)
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