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 51-56 of 56 results.

A199507 Decimal expansion of x>0 satisfying 3*x^2-x*sin(x)=3*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.92155711017032172599374812318830565593430519...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -1; c = 3;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .92, .93}, WorkingPrecision -> 110]
    RealDigits[r]  (* A199507 *)

A199508 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.773981117427467177521657303986725303016750...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -2; c = 1;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
    RealDigits[r]   (* A199508 *)

A199509 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=2*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.95029497686994665856209249419440178367487...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -2; c = 2;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
    RealDigits[r]  (* A199509 *)

A199510 Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=3*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.05111022884372801142571145811941968512...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -2; c = 3;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.05, 1.06}, WorkingPrecision -> 110]
    RealDigits[r]  (* A199510 *)

A199511 Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.02340467467495211589150339834045246088277315441...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -3; c = 1;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.02, 1.03}, WorkingPrecision -> 110]
    RealDigits[r]  (* A199511 *)

A199513 Decimal expansion of x>0 satisfying 3*x^2-3*x*sin(x)=2*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 07 2011

Keywords

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.14967454409407837060286558757515943034710...
		

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 3; b = -3; c = 2;
    f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
    Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.14, 1.15}, WorkingPrecision -> 110]
    RealDigits[r]  (* A199513 *)
Previous Showing 51-56 of 56 results.