A332522 Decimal expansion of the number u such that the line normal to the graph of y = sin x at (u, sin u) passes through (Pi/4,0).

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

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Example

u = 0.4158555967898679887880048019...

Mathematica

u = u /. FindRoot[0 == (-Pi/4) Sec[u] + u Sec[u] + Sin[u], {u, 0}, WorkingPrecision ->  150]
RealDigits[u][[1]]

Crossrefs

Cf. A332500, A332507.

Sequence in context: A177266 A356124 A272534 * A173386 A011443 A016687

Adjacent sequences: A332519 A332520 A332521 * A332523 A332524 A332525

Keyword

nonn,cons

Author

Clark Kimberling, May 05 2020

Status

approved