OFFSET
0,1
COMMENTS
Without the condition on the altitudes the probability is 1/2.
LINKS
Mohammed Yaseen, Table of n, a(n) for n = 0..10000
Murray S. Klamkin, Problem 1494, Crux Mathematicorum, Vol. 15, No. 10 (1989), p. 298; Solution to Problem 1494, by P. Penning, ibid., Vol. 17, No. 2 (1991), pp. 53-54.
Eric Weisstein's World of Mathematics, Altitude.
FORMULA
Equals 2*log(sqrt(5)-1) + 1 - sqrt(5)/2.
EXAMPLE
0.30583672225078887563435958170197817216032242014342...
MATHEMATICA
RealDigits[2*Log[Sqrt[5] - 1] + 1 - Sqrt[5]/2, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 18 2022
STATUS
approved