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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A198542 Decimal expansion of x<0 having 4*x^2+3x=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.2554188599376081010076228109491642434...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 4; b = 3; c = 2;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.5, .2}]
    r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]
    RealDigits[r] (* A198542 *)

A198543 Decimal expansion of x>0 having 4*x^2+3x=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.2403960801443653959132371766170776997176...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 4; b = 3; c = 4;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.2, .4}]
    r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
    RealDigits[r] (* A198543 *)

A198544 Decimal expansion of x<0 having 4*x^2+4x=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.77423889175639132042740361973850...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 4; b = 4; c = 1;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -1, .42}]
    r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
    RealDigits[r] (* A198544 *)

A198545 Decimal expansion of x < 0 having 4*x^2+4*x = 3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			-0.258312912377523926032734073951982530...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 4; b = 4; c = 3;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.3, .1}]
    r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]
    RealDigits[r] (* A198545 *)

Extensions

a(86) onwards corrected by Georg Fischer, Aug 01 2021

A198546 Decimal expansion of x>0 having 2*x^2-x=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.9308567560394559552754058207009828452259971...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 2; b = -1; c = 1;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 1.1}]
    r = x /. FindRoot[f[x] == g[x], {x, .93, .94}, WorkingPrecision -> 110]
    RealDigits[r] (* A198546 *)

A198547 Decimal expansion of x>0 having 2*x^2-x=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.2567768959612717304418911512656718686...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 2; b = -1; c = 2;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 1.5}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
    RealDigits[r] (* A198547 *)

A198548 Decimal expansion of x>0 having 2*x^2-x=3*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.4984285701410262891056521012440198385183...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 2; b = -1; c = 3;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 2}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.5}, WorkingPrecision -> 110]
    RealDigits[r]  (* A198548 *)

A198549 Decimal expansion of x>0 having 2*x^2-x=4*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.68184524494501231093262862021941994235640...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 2; b = -1; c = 4;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 2}]
    r = x /. FindRoot[f[x] == g[x], {x, 1.68, 1.69}, WorkingPrecision -> 110]
    RealDigits[r] (* A198549 *)

A198550 Decimal expansion of x>0 having 3*x^2-x=sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.644092530193072558991289215251300836951140...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 3; b = -1; c = 1;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 1}]
    r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
    RealDigits[r] (* A198550 *)

A198551 Decimal expansion of x>0 having 3*x^2-x=2*sin(x).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Oct 26 2011

Keywords

Comments

See A198414 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.911453814997906893933792835170513280932...
		

Crossrefs

Cf. A198414.

Programs

  • Mathematica
    a = 3; b = -1; c = 2;
    f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
    Plot[{f[x], g[x]}, {x, -.1, 1}]
    r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110]
    RealDigits[r] (* A198551 *)
Previous Showing 51-60 of 106 results. Next