OFFSET
0,1
LINKS
Mohammed Yaseen, Table of n, a(n) for n = 0..10000
Eugen J. Ionascu, Problem 11663, The American Mathematical Monthly, Vol. 119, No. 8 (2012), pp. 699-706; alternative link; Are Random Breaks the Altitudes of a Triangle?, Solution to Problem 116633, by David Farnsworth and James Marento, ibid., Vol. 121, No. 8 (2014), pp. 741-743.
Eugen J. Ionaşcu and Gabriel Prăjitură, Things to do with a broken stick, International Journal of Geometry, Vol. 2, No. 2 (2013), pp. 5-30; arXiv preprint, arXiv:1009.0890 [math.HO], 2010-2013.
Roberto Tauraso, Problem 11663.
Eric Weisstein's World of Mathematics, Altitude.
FORMULA
Equals 12*sqrt(5)*log((3+sqrt(5))/2)/25 - 4/5.
Equals 24*sqrt(5)*log(phi)/25 - 4/5, where phi is the golden ratio (A001622).
EXAMPLE
0.23298145831360969333463975908145302101896963809669...
MATHEMATICA
RealDigits[24*Sqrt[5]*Log[GoldenRatio]/25 - 4/5, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 18 2022
STATUS
approved