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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A199783 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=-4*sin(x).

Original entry on oeis.org

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

			1.316188870773528486850010806899221145281001...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -4; 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, 1.31, 1.32}, WorkingPrecision -> 110]
RealDigits[r]     (* A199783 *)

A199784 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

			1.223054065511102571350480494721928691740...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, 1.22, 1.23}, WorkingPrecision -> 110]
RealDigits[r]     (* A199784 *)

A199785 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			1.11862899963487214065496166324718104781709467840...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -4; 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, 1.11, 1.12}, WorkingPrecision -> 110]
RealDigits[r]    (* A199785 *)

A199786 Decimal expansion of x>0 satisfying 3*x^2-4*x*cos(x)=sin(x).

Original entry on oeis.org

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

			1.000401978886349072576800182201212279659791...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A199786 *)

A199787 Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=4*sin(x).

Original entry on oeis.org

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

			1.28190547398340537738455485683475852243974430...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, 1.28, 1.29}, WorkingPrecision -> 110]
RealDigits[r]     (* A199787 *)

A199788 Decimal expansion of x>0 satisfying 3*x^2-3*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			1.049188708200434213427207665003926608294390...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, 1.04, 1.05}, WorkingPrecision -> 110]
RealDigits[r]     (* A199788 *)

A199789 Decimal expansion of x > 0 satisfying 3*x^2 - 3*x*cos(x) = sin(x).

Original entry on oeis.org

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

			0.90624769163564407991862363102964674142519277480...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, .90, .91}, WorkingPrecision -> 110]
RealDigits[r]     (* A199789 *)

Extensions

a(98) corrected by Georg Fischer, Aug 03 2021

A199790 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=4*sin(x).

Original entry on oeis.org

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

			1.236907149122441612859325763734515286117501...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -2; 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, .90, .91}, WorkingPrecision -> 110]
RealDigits[r]    (* A199790 *)

A199791 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=3*sin(x).

Original entry on oeis.org

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

			1.1065550924691809702446461149733024715999...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; 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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]     (* A199791 *)

A199792 Decimal expansion of x>0 satisfying 3*x^2-2*x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			0.9549568558627914347257141116099561579649122...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -2; 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, .95, .96}, WorkingPrecision -> 110]
RealDigits[r]    (* A199792 *)
Previous Showing 71-80 of 98 results. Next

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