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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A199378 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 05 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.9128207174463953511535070797782280528...

Links

Crossrefs

Cf. A199370.

Programs

  • Mathematica
    a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110]
RealDigits[r]   (* A199378 *)

A199379 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=1.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 05 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.58278107251980976106714060622305725453...

Links

Crossrefs

Cf. A199370.

Programs

  • Mathematica
    a = 2; b = 1; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r]   (* A199379 *)

A199432 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.5430476244074010379607355901437652956070...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; 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, .54, .55}, WorkingPrecision -> 110]
RealDigits[r]  (* A199432 *)

A199433 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=2*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.7268924078543361944600244295359554167196621...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; 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, .72, .73}, WorkingPrecision -> 110]
RealDigits[r]  (* A199433 *)

A199434 Decimal expansion of x>0 satisfying x^2+2*x*sin(x)=3*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.8469975300452455894008106375702286795251786774...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; 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, .84, .85}, WorkingPrecision -> 110]
RealDigits[r]  (* A199434 *)

A199435 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.477947554121687356519723345940414530738979582349442...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; 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, .47, .48}, WorkingPrecision -> 110]
RealDigits[r]  (* A199435 *)

A199436 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=2*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.6482210358834324109817303939212785430601907...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; 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, .64, .65}, WorkingPrecision -> 110]
RealDigits[r]   (* A199436 *)

A199437 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.763575447308377054779338907559284434105190362...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 1; b = 3; 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, .76, .77}, WorkingPrecision -> 110]
RealDigits[r]  (* A199437 *)

A199438 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.539143607031404106487946070995523721270...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 2; b = 1; 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, .53, .54}, WorkingPrecision -> 110]
RealDigits[r]  (* A199438 *)

A199439 Decimal expansion of x>0 satisfying 2*x^2+x*sin(x)=2*cos(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 06 2011

Keywords

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.718527148711188821145312579718268847631016...

Links

Crossrefs

Cf. A199429.

Programs

  • Mathematica
    a = 2; b = 1; 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, .71, .72}, WorkingPrecision -> 110]
RealDigits[r]  (* A199439 *)
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