A332633 Decimal expansion of arclength between (0,0) and (Pi/4,1) on y = tan x.

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

Links

Table of n, a(n) for n=1..86.

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

Cf. A333202, A332634, A332635.

Sequence in context: A355500 A257960 A238734 * A316352 A114532 A003061

Adjacent sequences: A332630 A332631 A332632 * A332634 A332635 A332636

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jun 12 2020

Status

approved