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A332633
Decimal expansion of arclength between (0,0) and (Pi/4,1) on y = tan x.
5
1, 2, 7, 7, 9, 7, 8, 0, 5, 9, 2, 7, 7, 9, 3, 4, 4, 1, 8, 5, 6, 7, 0, 5, 6, 6, 2, 3, 0, 2, 9, 8, 3, 3, 4, 4, 9, 7, 2, 1, 7, 7, 0, 7, 8, 6, 6, 9, 4, 2, 2, 5, 5, 0, 2, 0, 8, 2, 9, 3, 3, 7, 0, 0, 9, 6, 4, 5, 1, 6, 9, 1, 2, 0, 1, 2, 4, 8, 9, 1, 7, 9, 3, 9, 7, 6
OFFSET
1,2
EXAMPLE
arclength = 1.277978059277934418567056623029833449721770...
MATHEMATICA
s = Integrate[Sqrt[1 + D[Tan[x], x]^2], {x, 0, Pi/4}]
r = N[s, 200]
RealDigits[r][[1]]
CROSSREFS
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 12 2020
STATUS
approved