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 91-98 of 98 results.

A199867 Decimal expansion of x > 0 satisfying 4*x^2 - 2*x*cos(x) = sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			0.63579423397192655143542664210015922323...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -2; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .63, .64}, WorkingPrecision -> 110]
RealDigits[r]    (* A199867 *)

Extensions

a(90) onwards corrected by Georg Fischer, Aug 03 2021

A199868 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			1.1251983796785454997711971706228898098598533...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -3; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.12, 1.13}, WorkingPrecision -> 110]
RealDigits[r]   (* A199868 *)

A199869 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			1.019504639315176352882845378655271467301921719333...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -3; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.01, 1.02}, WorkingPrecision -> 110]
RealDigits[r]    (* A199869 *)

A199870 Decimal expansion of x>0 satisfying 4*x^2-3*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			0.9008048369541508260159637385207023245345034281...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -3; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110]
RealDigits[r]    (* A199870 *)

A199871 Decimal expansion of x > 0 satisfying 4*x^2 - 3*x*cos(x) = sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			0.7664912135701791498527041146248373604930270139422...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -3; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
RealDigits[r]  (* A199871 *)

Extensions

a(96) onwards corrected by Georg Fischer, Aug 03 2021

A199872 Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			1.0817900512851302473726818478054114590342026...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -4; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.08, 1.09}, WorkingPrecision -> 110]
RealDigits[r]   (* A199872 *)

A199873 Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 11 2011

Keywords

Comments

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

Examples

			0.86697406906482496967460559743071907304716...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -4; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
RealDigits[r]   (* A199873 *)

A199608 Decimal expansion of greatest x satisfying x^2+3*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			least: -0.5973392503648539750049736135997669028331...
greatest:  3.0481385953651166891446050593739052208...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 1; b = 3; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 4}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.6, -.5}, WorkingPrecision -> 110]
RealDigits[r]  (* A199607, least of 4 roots *)
r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]
RealDigits[r]  (* A199708, greatest of 4 roots *)
Previous Showing 91-98 of 98 results.

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