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

1,1

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.

References

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

Links

Table of n, a(n) for n=1..102.

Formula

Equals 1/(1-A049470).

A206531/A206532+2 -> 1/(1-A 49470).

Example

2.17534264967002141077678675965606997584844...

Mathematica

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

Crossrefs

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

Sequence in context: A048505 A124821 A104030 * A262057 A082791 A299238

Adjacent sequences: A206530 A206531 A206532 * A206534 A206535 A206536

Keyword

cons,nonn

Author

Seiichi Kirikami, Feb 11 2012

Extensions

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

Status

approved