A206533 Decimal expansion of 1/(1-cos(1)).

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

Offset: 1

Author

Seiichi Kirikami, Feb 11 2012

Keywords

• cons
• nonn

Comments

The value of the fractional limit of the numerators(A206531+2*A206532) and the denominators(A206532).

Abs(A206532/(1-cos(1)) - (A206531+2*A206532)) -> 0.

Examples

			2.17534264967002141077678675965606997584844...
		

References

• E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, Inc., 1966.

Crossrefs

Cf. A002939, A082108, A206531, A206532, A049470, A371936.

Programs

Mathematica

RealDigits[N[1/(1-Cos[1]), 150]][[1]]

PARI

1/(1 - cos(1)) \\ Stefano Spezia, Apr 21 2025

Formula

Equals 1/(1-A049470).

A206531/A206532+2 -> 1/(1-A049470).

Equals 1/A371936. - Hugo Pfoertner, Apr 21 2025

Extensions

Incorrect a(86)=9 removed by Georg Fischer, Apr 04 2020