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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A200128 Decimal expansion of least x satisfying 2*x^2 - 4*cos(x) = sin(x), negated.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.91125136577248241254947318280293...
greatest x: 1.13740119952686852650278803084...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.92, -.91}, WorkingPrecision -> 110]
RealDigits[r]  (* A200128 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110]
RealDigits[r]  (* A200129 *)
  • PARI
    a=2; b=-4; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018

A200129 Decimal expansion of greatest x satisfying 2*x^2 - 4*cos(x) = sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.91125136577248241254947318280293...
greatest x: 1.13740119952686852650278803084...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 2; b = -4; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.92, -.91}, WorkingPrecision -> 110]
RealDigits[r]  (* A200128 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.13, 1.14}, WorkingPrecision -> 110]
RealDigits[r]  (* A200129 *)
  • PARI
    a=2; b=-4; c=1; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018

A200130 Decimal expansion of least x satisfying 2*x^2 - 4*cos(x) = 3*sin(x), negated.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.71900506455884292785927178084817...
greatest x: 1.368149112042067667997699108890...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 2; b = -4; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.72, -.71}, WorkingPrecision -> 110]
RealDigits[r]  (* A200130 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.36, 1.37}, WorkingPrecision -> 110]
RealDigits[r]  (* A200131 *)
  • PARI
    a=2; b=-4; c=3; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018

A200131 Decimal expansion of greatest x satisfying 2*x^2 - 4*cos(x) = 3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.719005064558842927859271780848179382...
greatest x: 1.368149112042067667997699108890...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 2; b = -4; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.72, -.71}, WorkingPrecision -> 110]
RealDigits[r]  (* A200130 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.36, 1.37}, WorkingPrecision -> 110]
RealDigits[r]   (* A200131 *)
  • PARI
    a=2; b=-4; c=3; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 01 2018

A200132 Decimal expansion of least x satisfying 3*x^2 - cos(x) = sin(x), negated.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.4137517591447739376844002798989...
greatest x: 0.68485307862320115956369446864...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.42, -.41}, WorkingPrecision -> 110]
RealDigits[r]   (* A200132 *)
r = x /. FindRoot[f[x] == g[x], {x, .68, .69}, WorkingPrecision -> 110]
RealDigits[r]   (* A200133 *)
  • PARI
    a=3; b=-1; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

A200133 Decimal expansion of greatest x satisfying 3*x^2 - cos(x) = sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.4137517591447739376844002798989...
greatest x: 0.684853078623201159563694468649...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.42, -.41}, WorkingPrecision -> 110]
RealDigits[r]   (* A200132 *)
r = x /. FindRoot[f[x] == g[x], {x, .68, .69}, WorkingPrecision -> 110]
RealDigits[r]   (* A200133 *)
  • PARI
    a=3; b=-1; c=1; solve(x=0, 1, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

A200223 Decimal expansion of least x satisfying 3*x^2 - cos(x) = 2*sin(x), negated.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.3231143338862262845356370492311714...
greatest x: 0.84890518832952236173456381626613...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.33, -.32}, WorkingPrecision -> 110]
RealDigits[r]   (* A200223 *)
r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
RealDigits[r]   (* A200224 *)
  • PARI
    a=3; b=-1; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018

A200224 Decimal expansion of greatest x satisfying 3*x^2 - cos(x) = 2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.3231143338862262845356370492311714...
greatest x: 0.84890518832952236173456381626613...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.33, -.32}, WorkingPrecision -> 110]
RealDigits[r]   (* A200223 *)
r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]
RealDigits[r]   (* A200224 *)
  • PARI
    a=3; b=-1; c=2; solve(x=0, 1, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018

A200225 Decimal expansion of least x satisfying 3*x^2 - cos(x) = 3*sin(x), negated.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.25837586008348694859843826122973...
greatest x: 1.012265562969209417334554419938...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]
RealDigits[r]   (* A200225 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200226 *)
  • PARI
    a=3; b=-1; c=3; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018

A200226 Decimal expansion of greatest x satisfying 3*x^2 - cos(x) = 3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Nov 14 2011

Keywords

Comments

See A199949 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -0.25837586008348694859843826122973...
greatest x: 1.012265562969209417334554419938...

Links

Crossrefs

Cf. A199949.

Programs

  • Mathematica
    a = 3; b = -1; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]
RealDigits[r]    (* A200225 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]    (* A200226 *)
  • PARI
    a=3; b=-1; c=3; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018
Previous Showing 81-90 of 136 results. Next

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