login
A332634
Decimal expansion of arclength between (0,0) and (Pi/6,1) on y = tan x.
1
7, 8, 0, 1, 3, 1, 4, 2, 8, 2, 8, 0, 8, 4, 9, 3, 3, 3, 5, 5, 9, 9, 8, 1, 8, 7, 2, 2, 1, 7, 7, 3, 3, 0, 6, 3, 6, 8, 7, 5, 2, 2, 6, 5, 8, 8, 3, 5, 5, 4, 3, 4, 3, 8, 4, 0, 6, 7, 2, 2, 8, 3, 4, 5, 9, 9, 5, 8, 0, 2, 7, 7, 0, 0, 1, 1, 0, 1, 1, 2, 7, 8, 2, 5, 2, 2
OFFSET
0,1
EXAMPLE
arclength = 0.780131428280849333559981872217733063687522...
MATHEMATICA
s = Integrate[Sqrt[1 + D[Tan[x], x]^2], {x, 0, Pi/6}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 15 2020
STATUS
approved