A181907 -id:A181907 - cp's OEIS frontend

A181906 The value of r at the onset of the first period-9 cycle of the logistic map f(x) = rx(1 - x).

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 240*2 = 480 polynomial.

			3.6871968733...

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181916, A181917, A181918, A181919.

A181909 The r value at the onset of the first period-11 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 1013*2 = 2026 polynomial.

			3.6817160193...

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181910, A181911, A181912, A181913, A181915, A181916, A181917, A181918, A181919.

A181910 The value of r at the onset of the first period-12 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 1959*2 = 3918 polynomial.

			3.58202300107...

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181911, A181912, A181913, A181915, A181916, A181917, A181918, A181919

A181911 The value of r at the onset of the first period-13 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 4083*2 = 9166 polynomial.

			3.6797024577659...

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181912, A181913, A181915, A181916, A181917, A181918, A181919

A181915 The value of r at the bifurcation point of the first period-9 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 252*2 = 504 polynomial.

			3.6872742105...

Cheng Zhang, the minimal polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181916, A181917, A181918, A181919.

A181916 The value of r at the bifurcation point of the first period-10 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 495*2 = 990 polynomial.

			3.605916932....

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181917, A181918, A181919.

A181917 The value of r at the bifurcation point of the first period-11 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 1023*2 = 2046 polynomial.

			3.68172664565...

Cheng Zhang, the minimal polynomial of T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181916, A181918, A181919.

A181918 The value of r at the bifurcation point of the first period-12 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 2010*2 = 4020 polynomial

			3.5828117795...

Cheng Zhang, the polynomial for T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181916, A181917, A181919.

A181919 The value of r at the bifurcation point of the first period-13 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 4095*2 = 8190 polynomial.

			3.6797038498...

Cheng Zhang, the polynomial of T = r*(r-2)

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A181906, A181907, A181909, A181910, A181911, A181912, A181913, A181915, A181916, A181917, A181918.

A181912 The value of r at the bifurcation point of the first period-5 cycle of the logistic map f(x) = rx(1 - x).

Original entry on oeis.org

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

Offset: 1

Cheng Zhang, Apr 01 2012

Root of a degree 15*2 = 30 polynomial.

			3.7411207566...

Cf. A086178, A086179, A086180, A086181, A091517, A118452, A118453, A118746, A181906, A181907, A181909, A181910, A181911, A181913, A181915, A181916, A181917, A181918, A181919.

RealDigits[1 + Sqrt[1 + T] /. NSolve[1291467969 - 313083144 T + 149426046 T^2 - 88548768 T^3 + 58697100 T^4 - 26978787 T^5 + 11351480 T^6 - 4444924 T^7 + 1519712 T^8 - 462764 T^9 + 118147 T^10 - 24008 T^11 + 3838 T^12 - 448 T^13 + 32 T^14 - T^15 == 0, T, Reals, WorkingPrecision -> 200][[1]][[1]]][[1]]

cp's OEIS Frontend

A181906 The value of r at the onset of the first period-9 cycle of the logistic map f(x) = r*x*(1 - x).

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A181909 The r value at the onset of the first period-11 cycle of the logistic map f(x) = r*x*(1 - x).

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A181910 The value of r at the onset of the first period-12 cycle of the logistic map f(x) = r*x*(1 - x).

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A181911 The value of r at the onset of the first period-13 cycle of the logistic map f(x) = r*x*(1 - x).

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A181915 The value of r at the bifurcation point of the first period-9 cycle of the logistic map f(x) = r*x*(1 - x).

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A181916 The value of r at the bifurcation point of the first period-10 cycle of the logistic map f(x) = r*x*(1 - x).

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A181917 The value of r at the bifurcation point of the first period-11 cycle of the logistic map f(x) = r*x*(1 - x).

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A181918 The value of r at the bifurcation point of the first period-12 cycle of the logistic map f(x) = r*x*(1 - x).

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A181919 The value of r at the bifurcation point of the first period-13 cycle of the logistic map f(x) = r*x*(1 - x).

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A181912 The value of r at the bifurcation point of the first period-5 cycle of the logistic map f(x) = r*x*(1 - x).

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A181906 The value of r at the onset of the first period-9 cycle of the logistic map f(x) = rx(1 - x).

A181909 The r value at the onset of the first period-11 cycle of the logistic map f(x) = rx(1 - x).

A181910 The value of r at the onset of the first period-12 cycle of the logistic map f(x) = rx(1 - x).

A181911 The value of r at the onset of the first period-13 cycle of the logistic map f(x) = rx(1 - x).

A181915 The value of r at the bifurcation point of the first period-9 cycle of the logistic map f(x) = rx(1 - x).

A181916 The value of r at the bifurcation point of the first period-10 cycle of the logistic map f(x) = rx(1 - x).

A181917 The value of r at the bifurcation point of the first period-11 cycle of the logistic map f(x) = rx(1 - x).

A181918 The value of r at the bifurcation point of the first period-12 cycle of the logistic map f(x) = rx(1 - x).

A181919 The value of r at the bifurcation point of the first period-13 cycle of the logistic map f(x) = rx(1 - x).

A181912 The value of r at the bifurcation point of the first period-5 cycle of the logistic map f(x) = rx(1 - x).