A199949 -id:A199949 - cp's OEIS frontend

A200238 Decimal expansion of greatest x satisfying 3x^2 - 3cos(x) = sin(x).

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.725773931375098148951813264652313...
greatest x: 0.9300571100924892467882468144056...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -3; c = 1;
f[x_] := a*x^2 + b*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, -.73, -.72}, WorkingPrecision -> 110]
RealDigits[r]   (* A200237 *)
r = x /. FindRoot[f[x] == g[x], {x, .93, .94}, WorkingPrecision -> 110]
RealDigits[r]   (* A200238 *)

a=3; b=-3; c=1; solve(x=0, 1, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

A200239 Decimal expansion of least x satisfying 3x^2-3cos(x)=2*sin(x).

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.63766115794607313411989545658819620...
greatest x: 1.039829693324607596071793532120387...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -3; c = 2;
f[x_] := a*x^2 + b*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, -.64, -.63}, WorkingPrecision -> 110]
RealDigits[r]   (* A200239 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200240 *)

a=3; b=-3; c=2; solve(x=-.64, -.63, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018

A200240 Decimal expansion of greatest x satisfying 3x^2-3cos(x)=2*sin(x).

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Nov 15 2011

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

			least x: -0.63766115794607313411989545658819620...
greatest x: 1.039829693324607596071793532120387...

G. C. Greubel, Table of n, a(n) for n = 1..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -3; c = 2;
f[x_] := a*x^2 + b*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, -.64, -.63}, WorkingPrecision -> 110]
RealDigits[r]   (* A200239 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200240 *)

a=3; b=-3; c=2; solve(x=1.0, 1.1, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018

A200241 Decimal expansion of least x satisfying 3x^2 - 3cos(x) = 4*sin(x), negated.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.495594232798110803966694081360666...
greatest x: 1.2559670249437296288542832153976444...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -3; c = 4;
f[x_] := a*x^2 + b*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, -.50, -.49}, WorkingPrecision -> 110]
RealDigits[r]   (* A200241 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
RealDigits[r]   (* A200242 *)

a=3; b=-3; c=4; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018

A200242 Decimal expansion of greatest x satisfying 3x^2 - 3cos(x) = 4*sin(x).

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Nov 15 2011

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

			least x: -0.495594232798110803966694081360666...
greatest x: 1.2559670249437296288542832153976444...

G. C. Greubel, Table of n, a(n) for n = 1..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -3; c = 4;
f[x_] := a*x^2 + b*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, -.50, -.49}, WorkingPrecision -> 110]
RealDigits[r]   (* A200241 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
RealDigits[r]   (* A200242 *)

a=3; b=-3; c=4; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018

A200277 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = sin(x), negated.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.81771521879230454511191454208365777...
greatest x: 1.000303639283590185187225035744180...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -4; c = 1;
f[x_] := a*x^2 + b*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, -.81}, WorkingPrecision -> 110]
RealDigits[r]   (* A200277  *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200278 *)

a=3; b=-4; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

A200278 Decimal expansion of greatest x satisfying 3x^2 - 4cos(x) = sin(x).

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Nov 15 2011

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

			least x: -0.81771521879230454511191454208365777...
greatest x: 1.000303639283590185187225035744180...

G. C. Greubel, Table of n, a(n) for n = 1..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -4; c = 1;
f[x_] := a*x^2 + b*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, -.81}, WorkingPrecision -> 110]
RealDigits[r]   (* A200277  *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200278 *)

a=3; b=-4; c=1; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

A200279 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = 2*sin(x), negated.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.73563807644468208614776955612311...
greatest x: 1.096406992421267947221987681314...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -4; c = 2;
f[x_] := a*x^2 + b*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, -.74, -.73}, WorkingPrecision -> 110]
RealDigits[r]  (* A200279 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]   (* A200280 *)

a=3; b=-4; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 07 2018

A200280 Decimal expansion of greatest x satisfying 3x^2 - 4cos(x) = 2*sin(x).

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Nov 15 2011

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

			least x: -0.73563807644468208614776955612311...
greatest x: 1.096406992421267947221987681314...

G. C. Greubel, Table of n, a(n) for n = 1..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -4; c = 2;
f[x_] := a*x^2 + b*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, -.74, -.73}, WorkingPrecision -> 110]
RealDigits[r]  (* A200279 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
RealDigits[r]  (* A200280 *)

a=3; b=-4; c=2; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 07 2018

A200281 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = 3*sin(x), negated.

Original entry on oeis.org

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

Offset: 0

Clark Kimberling, Nov 15 2011

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

			least x: -0.6615723781879899920628993073289...
greatest x: 1.19240455007681565929009549661...

G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for transcendental numbers.

Cf. A199949.

a = 3; b = -4; c = 3;
f[x_] := a*x^2 + b*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, -.67, -.66}, WorkingPrecision -> 110]
RealDigits[r]    (* A200281 *)
r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r]   (* A200282 *)

a=3; b=-4; c=3; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 07 2018

cp's OEIS Frontend

A200238 Decimal expansion of greatest x satisfying 3*x^2 - 3*cos(x) = sin(x).

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A200239 Decimal expansion of least x satisfying 3*x^2-3*cos(x)=2*sin(x).

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A200240 Decimal expansion of greatest x satisfying 3*x^2-3*cos(x)=2*sin(x).

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A200241 Decimal expansion of least x satisfying 3*x^2 - 3*cos(x) = 4*sin(x), negated.

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A200242 Decimal expansion of greatest x satisfying 3*x^2 - 3*cos(x) = 4*sin(x).

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A200277 Decimal expansion of least x satisfying 3*x^2 - 4*cos(x) = sin(x), negated.

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Mathematica

PARI

A200278 Decimal expansion of greatest x satisfying 3*x^2 - 4*cos(x) = sin(x).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI

A200279 Decimal expansion of least x satisfying 3*x^2 - 4*cos(x) = 2*sin(x), negated.

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A200238 Decimal expansion of greatest x satisfying 3x^2 - 3cos(x) = sin(x).

A200239 Decimal expansion of least x satisfying 3x^2-3cos(x)=2*sin(x).

A200240 Decimal expansion of greatest x satisfying 3x^2-3cos(x)=2*sin(x).

A200241 Decimal expansion of least x satisfying 3x^2 - 3cos(x) = 4*sin(x), negated.

A200242 Decimal expansion of greatest x satisfying 3x^2 - 3cos(x) = 4*sin(x).

A200277 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = sin(x), negated.

A200278 Decimal expansion of greatest x satisfying 3x^2 - 4cos(x) = sin(x).

A200279 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = 2*sin(x), negated.

A200280 Decimal expansion of greatest x satisfying 3x^2 - 4cos(x) = 2*sin(x).

A200281 Decimal expansion of least x satisfying 3x^2 - 4cos(x) = 3*sin(x), negated.