A335928 Decimal expansion of the arclength on y = sin(x) from (0,0) to (Pi/4,sqrt(2)).

1, 0, 5, 8, 0, 9, 5, 5, 0, 1, 3, 9, 2, 5, 6, 3, 0, 5, 7, 7, 2, 7, 8, 8, 9, 3, 9, 1, 9, 3, 5, 9, 4, 6, 8, 8, 7, 7, 4, 8, 4, 9, 0, 4, 9, 9, 7, 7, 9, 6, 9, 1, 9, 3, 0, 5, 6, 0, 6, 4, 4, 6, 2, 4, 4, 1, 1, 6, 8, 2, 6, 3, 6, 1, 2, 3, 6, 9, 4, 7, 9, 4, 8, 0, 8, 2

Offset

1,3

Links

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

Example

arclength = 1.05809550139256305772788939193594688774...

Mathematica

r = NIntegrate[Sqrt[1 + Cos[t]^2], {t, 0, Pi/4}, WorkingPrecision -> 200]
RealDigits[r][[1]]

Crossrefs

Cf. A335929, A335930, A335931.

Sequence in context: A349398 A349397 A140249 * A081564 A199073 A199069

Adjacent sequences: A335925 A335926 A335927 * A335929 A335930 A335931

Keyword

nonn,cons

Author

Clark Kimberling, Jul 01 2020

Status

approved