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

Author

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

Keywords

• cons
• nonn

Examples

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

Links

• 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;