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A075838 Decimal expansion of the solution to donkey problem. 1
9, 5, 2, 8, 4, 7, 8, 6, 4, 6, 5, 4, 9, 4, 1, 9, 4, 7, 4, 4, 1, 3, 3, 3, 2, 1, 8, 5, 8, 0, 4, 8, 3, 3, 5, 1, 7, 4, 7, 5, 2, 1, 5, 6, 0, 8, 0, 6, 4, 0, 1, 6, 0, 6, 0, 9, 6, 7, 8, 2, 2, 7, 9, 9, 9, 7, 2, 7, 2, 1, 2, 0, 4, 9, 7, 8, 9, 7, 5, 1, 1, 3, 7, 8, 5, 8, 0, 8, 3, 1, 7, 3, 2, 3, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..95.

Dr. Math., Donkey Problem

M. Fraser, A tale of two goats, Math. Mag., 55 (1982), 221-227. [N. J. A. Sloane, Jul 12 2011]

FORMULA

x: 4x*cos^2(x) + (1/2)Pi - 2x - sin(2x) = 0

EXAMPLE

x = 0.95284786...

PROG

(PARI) solve(x=0, 1, 4*x*cos(x)^2 + Pi/2 - 2*x - sin(2*x)) \\ Michel Marcus, Sep 19 2017

CROSSREFS

Sequence in context: A091132 A155165 A199061 * A094129 A021917 A128757

Adjacent sequences:  A075835 A075836 A075837 * A075839 A075840 A075841

KEYWORD

easy,nonn,cons

AUTHOR

Zak Seidov, Oct 17 2002

STATUS

approved

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Last modified November 21 09:56 EST 2019. Contains 329362 sequences. (Running on oeis4.)