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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A199793 Decimal expansion of x > 0 satisfying 3*x^2 - 2*x*cos(x) = sin(x).

Original entry on oeis.org

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

			0.77644310890383810190966994916298288791800514780...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -2; 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, .77, .78}, WorkingPrecision -> 110]
RealDigits[r]   (* A199793 *)

Extensions

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

A199794 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=4*sin(x).

Original entry on oeis.org

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

			1.175305634891943103853115216287202949720...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -1; 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, 1.17, 1.18}, WorkingPrecision -> 110]
RealDigits[r]   (* A199794 *)

A199795 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=3*sin(x).

Original entry on oeis.org

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

			1.013614245650400945368858789724476712114490...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -1; 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]   (* A199795 *)

A199796 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			0.8212972155557462493232712765329159218079155...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -1; 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, .82, .83}, WorkingPrecision -> 110]
RealDigits[r]   (* A199796 *)

A199797 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=sin(x).

Original entry on oeis.org

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

			0.5910476680725495873978098454642124730516901364280...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 3; b = -1; 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, .59, .60}, WorkingPrecision -> 110]
RealDigits[r]    (* A199797 *)

A199862 Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=4*sin(x).

Original entry on oeis.org

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

			0.984453631713289975384760570628538433993217384...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -1; 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, .98, .99}, WorkingPrecision -> 110]
RealDigits[r]    (* A199862 *)

A199863 Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=3*sin(x).

Original entry on oeis.org

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

			0.8340067446429083391110166829079224585586502659...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -1; 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, .83, .84}, WorkingPrecision -> 110]
RealDigits[r]    (* A199863 *)

A199864 Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=2*sin(x).

Original entry on oeis.org

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

			0.66157330182059121393386711541283428338023400...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -1; 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, .66, .67}, WorkingPrecision -> 110]
RealDigits[r]   (* A199864 *)

A199865 Decimal expansion of x>0 satisfying 4*x^2-x*cos(x)=sin(x).

Original entry on oeis.org

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

			0.4646025259952393958921906007574784643540565243570...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -1; 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, .46, .47}, WorkingPrecision -> 110]
RealDigits[r]    (* A199865 *)

A199866 Decimal expansion of x>0 satisfying 4*x^2-2*x*cos(x) = 3*sin(x).

Original entry on oeis.org

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

			0.93951949639187509770011598062929173591144880...

Links

Crossrefs

Cf. A199597.

Programs

  • Mathematica
    a = 4; b = -2; 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, .93, .94}, WorkingPrecision -> 110]
RealDigits[r]    (* A199866 *)
Previous Showing 81-90 of 98 results. Next

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