A173571 Decimal expansion of constant related to Goat Problem, Donkey Problem, Tenenbaum and A173201.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

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

Gerd Lamprecht, Iterationsrechner Beispiel 3

Formula

x = sqrt(1-A072112^2) = sqrt(1-(1-A133731^2/2)^2); A075838 =(x+PI/2-asin(x))/(A133731^2); with A072112=1-A133731^2/2; A133731=cos(A173201/2)*2;

Example

0.9528478646... = A075838 =(0.9444433782055...+PI/2-asin(0.9444433782055...))/(A133731^2);

Crossrefs

Sequence in context: A378331 A262313 A097878 * A275915 A340578 A378486

Adjacent sequences: A173568 A173569 A173570 * A173572 A173573 A173574

Keyword

cons,nonn

Author

Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Feb 22 2010

Status

approved