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.

Showing 1-10 of 18 results. Next

A196624 Decimal expansion of the least x>0 satisfying 1=2x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			0.7408409550954906210109354099431301371986...
		

Crossrefs

Programs

  • Mathematica
    Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196624 *)
    t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196754 *)
    t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196755 *)
    t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196756 *)
    t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196757 *)

A196767 Decimal expansion of the least x > 0 satisfying 1 = x*sin(x - Pi/2), or, equivalently, -1 = x*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			2.073932809091214901167776297799360067946219531...
		

Crossrefs

Cf. A196772.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], Sin[x - Pi/2], Sin[x - Pi/3], Sin[x - Pi/4]}, {x,
      0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/2], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]     (* A196767 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/3], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196768 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/4], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196769 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/5], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196770 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/6], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196771 *)
  • PARI
    solve(x=2,3, x*cos(x)+1) \\ Charles R Greathouse IV, Feb 11 2025

A196754 Decimal expansion of the least x>0 satisfying 1=3x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			0.594839172505492954834899775377921510856777...
		

Crossrefs

Cf. A196758.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196624 *)
    t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196754 *)
    t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196755 *)
    t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196756 *)
    t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196757 *)

A196755 Decimal expansion of the least x>0 satisfying 1=4x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			0.51110224026790328119763508698954594770973...
		

Crossrefs

Cf. A196758.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196624 *)
    t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196754 *)
    t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196755 *)
    t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196756 *)
    t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196757 *)

A196756 Decimal expansion of the least x>0 satisfying 1=5x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			0.45505263679415199204539796514204066987181437073039903...
		

Crossrefs

Cf. A196758.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196624 *)
    t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196754 *)
    t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196755 *)
    t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196756 *)
    t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196757 *)

A196757 Decimal expansion of the least x>0 satisfying 1=6x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			0.4141599332318729755137578963204421123096...
		

Crossrefs

Cf. A196758.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], 2 Sin[x], 3*Sin[x], 4 Sin[x]}, {x, 0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == 2 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196624 *)
    t = x /. FindRoot[1/x == 3 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196754 *)
    t = x /. FindRoot[1/x == 4 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196755 *)
    t = x /. FindRoot[1/x == 5 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196756 *)
    t = x /. FindRoot[1/x == 6 Sin[x], {x, .2, 1.4}, WorkingPrecision -> 100]
    RealDigits[t]  (* A196757 *)

A196760 Decimal expansion of the least x>0 satisfying 2=x*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			x=6.591467807276450408689193536456477366606...
		

Crossrefs

Cf. A196765.

Programs

  • Mathematica
    Plot[{1/x, 2/x, 3/x, 4/x, Sin[x]}, {x, 0, 4 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[2/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196760 *)
    t = x /. FindRoot[3/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196761 *)
    t = x /. FindRoot[4/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196762 *)
    t = x /. FindRoot[5/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196763 *)
    t = x /. FindRoot[6/x == Sin[x], {x, 6, 7}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196764 *)

A196768 Decimal expansion of the least x > 0 satisfying 1 = x*sin(x - Pi/3).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			x=1.6833055867088961454373617589948556354513948660...
		

Crossrefs

Cf. A196772.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], Sin[x - Pi/2], Sin[x - Pi/3], Sin[x - Pi/4]}, {x,
      0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/2], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]     (* A196767 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/3], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196768 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/4], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196769 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/5], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196770 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/6], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196771 *)

A196769 Decimal expansion of the least x > 0 satisfying 1 = x*sin(x - Pi/4).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			x=1.5095068322244728855653262204377685055328808170667196...
		

Crossrefs

Cf. A196772.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], Sin[x - Pi/2], Sin[x - Pi/3], Sin[x - Pi/4]}, {x,
      0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/2], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]     (* A196767 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/3], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196768 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/4], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196769 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/5], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196770 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/6], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196771 *)

A196770 Decimal expansion of the least x > 0 satisfying 1 = x*sin(x - Pi/5).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 06 2011

Keywords

Examples

			x=1.41392254090929674042445333303603311304090191571000...
		

Crossrefs

Cf. A196772.

Programs

  • Mathematica
    Plot[{1/x, Sin[x], Sin[x - Pi/2], Sin[x - Pi/3], Sin[x - Pi/4]}, {x,
      0, 2 Pi}]
    t = x /. FindRoot[1/x == Sin[x], {x, 1, 1.2}, WorkingPrecision -> 100]
    RealDigits[t]  (* A133866 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/2], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]     (* A196767 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/3], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196768 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/4], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196769 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/5], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]   (* A196770 *)
    t = x /. FindRoot[1/x == Sin[x - Pi/6], {x, 1, 2}, WorkingPrecision -> 100]
    RealDigits[t]    (* A196771 *)
Showing 1-10 of 18 results. Next