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A341942
Decimal expansion of (388 + 15*Pi)/(212 - 15*Pi).
1
2, 6, 3, 9, 0, 9, 6, 0, 4, 1, 7, 8, 6, 6, 4, 8, 3, 2, 0, 5, 3, 0, 8, 8, 8, 9, 7, 5, 5, 8, 2, 5, 3, 7, 1, 9, 1, 5, 0, 9, 2, 0, 6, 7, 4, 8, 6, 2, 2, 9, 7, 4, 8, 4, 9, 0, 7, 9, 8, 2, 3, 3, 1, 5, 3, 3, 4, 0, 0, 2, 6, 9, 6, 2, 9, 3, 8, 1, 9, 6, 9, 4, 3, 8, 0, 6, 7, 7, 6, 1, 6, 3, 0, 7, 4, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2
OFFSET
1,1
COMMENTS
The constant is equal to lim_{n -> oo} A190020(n)/A190019(n), which is the ratio of the probability of an obtuse triangle to an acute triangle, when all three vertices are drawn uniformly at random in a square.
EXAMPLE
2.6390960417866483205308889755825371915092...
MATHEMATICA
RealDigits[(388 + 15*Pi)/(212 - 15*Pi), 10, 100][[1]]
PROG
(PARI) (388 + 15*Pi)/(212 - 15*Pi) \\ Michel Marcus, Feb 25 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Peter Kagey, Feb 24 2021
STATUS
approved