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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A198879 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=1.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.091602475250650831686969301512953496960...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -3; c = 1;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.09, 1.1}, WorkingPrecision -> 110]
    RealDigits[r] (* A198879 *)

A198880 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=2.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.227017207352922089722199708195426935059...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -3; c = 2;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
    RealDigits[r] (* A198880 *)

A198881 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=3.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.351442892942079049695554780366304939383122...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -3; c = 3;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.35, 1.36}, WorkingPrecision -> 110]
    RealDigits[r] (* A198881 *)

A198882 Decimal expansion of x>0 satisfying 2*x^2-3*cos(x)=4.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.4677513602041465415605846188569263163373634389...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -3; c = 4;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.46, 1.47}, WorkingPrecision -> 110]
    RealDigits[r] (* A198882 *)

A198883 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=-3.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.5026301835236818970438692160093538753179...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -4; c = -3;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
    RealDigits[r] (* A198883 *)

A198884 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=-1.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.8799704032423942387963153440536443839...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -4; c = -1;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .87, .88}, WorkingPrecision -> 110]
    RealDigits[r] (* A198884 *)

A198885 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=1.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.1486601356986659877269424680324417675143222...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -4; c = 1;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
    RealDigits[r]  (* A198885 *)

A198886 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=3.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.374675343934681899630156657323758589155...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 2; b = -4; c = 3;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
    RealDigits[r]  (* A198886 *)

A198917 Decimal expansion of x>0 satisfying 3*x^2+cos(x)=3.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.8887472429317410305961061776524010...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 3; b = 1; c = 3;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]
    RealDigits[r] (* A198917 *)

A198918 Decimal expansion of x>0 satisfying 3*x^2+cos(x) = 4.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 31 2011

Keywords

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.0852510131397580205120939483276057918898...
		

Crossrefs

Cf. A198755.

Programs

  • Mathematica
    a = 3; b = 1; c = 4;
    f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
    Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
    r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
    RealDigits[r]  (* A198918 *)
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