A334960 Decimal expansion of the distance from (0,0) to the nearest maximum point of y = sin x.

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

Offset

1,2

Links

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

Index entries for transcendental numbers.

Formula

(distance, (0,0) to (Pi/2,1)) = (1/2)*sqrt(Pi^2 + 4). [corrected by Jason Yuen, Mar 20 2025]

Equals A334959/2. - Jason Yuen, Mar 20 2025

Example

distance = 1.862095889118586624970138678596059524...

Mathematica

r = N[(1/2) Sqrt[Pi^2 + 4], 120]
RealDigits[r][[1]]

Prog

(PARI) sqrt(Pi^2/4+1) \\ Charles R Greathouse IV, May 15 2026

Crossrefs

Cf. A334959, A334961, A334962.

Sequence in context: A124605 A272430 A021120 * A021541 A066716 A339801

Adjacent sequences: A334957 A334958 A334959 * A334961 A334962 A334963

Keyword

nonn,cons

Author

Clark Kimberling, Jul 01 2020

Extensions

Data corrected by Jason Yuen, Mar 20 2025

Status

approved