A201741 -id:A201741 - cp's OEIS frontend

A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x.

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

Offset: 1

Clark Kimberling, Dec 06 2011

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

			x=3.077454729826088705217742508367563798820757400...

Index entries for transcendental numbers.

Cf. A201741.

a = 1; b = 3; c = 3;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110]
RealDigits[r]     (* A201900 *)

A201901 Decimal expansion of the number x satisfying x^2+3x+4=e^x.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Dec 06 2011

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

			x=3.1525907367571582749969890047671397858138094...

Index entries for transcendental numbers.

Cf. A201741.

a = 1; b = 3; c = 4;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.1, 3.2}, WorkingPrecision -> 110]
RealDigits[r]      (* A201901 *)

A201902 Decimal expansion of the number x satisfying x^2+3x+5=e^x.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Dec 06 2011

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

			3.220017950525710295777092092505130178392983...

Index entries for transcendental numbers.

Cf. A201741.

a = 1; b = 3; c = 5;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.2, 3.3}, WorkingPrecision -> 110]
RealDigits[r]      (* A201902 *)

A201930 Decimal expansion of the number x satisfying x^2 + 4*x + 5 = e^x.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, Dec 06 2011

See A201741 for a guide to related sequences. The Mathematica program includes a graph.

			3.410146844945629492286480636530226066252...

Index entries for transcendental numbers.

Cf. A201741.

a = 1; b = 4; c = 5;
f[x_] := a*x^2 + b*x + c; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 3.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 3.4, 3.5}, WorkingPrecision -> 110]
RealDigits[r]     (* A201930 *)

a(96) onwards corrected by Georg Fischer, Aug 03 2021

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A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x.

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A201901 Decimal expansion of the number x satisfying x^2+3x+4=e^x.

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A201902 Decimal expansion of the number x satisfying x^2+3x+5=e^x.

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Mathematica

A201930 Decimal expansion of the number x satisfying x^2 + 4*x + 5 = e^x.

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