A206530 Decimal expansion of 1/(1-sin(1)).

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

Offset: 1

Author

Seiichi Kirikami, Feb 11 2012

Keywords

• nonn
• cons

Comments

The value of the limit of (A206307+6*A206308) / (A206308).

Examples

			6.3079935164437400275135217398...
		

References

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

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000

Crossrefs

Cf. A002943, A049469, A125202, A206307, A206308.

Programs

Magma

SetDefaultRealField(RealField(150)); 1/(1-Sin(1)); // G. C. Greubel, Dec 20 2022

Mathematica

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

SageMath

numerical_approx(1/(1-sin(1)), digits=150) # G. C. Greubel, Dec 20 2022

Formula

Equals 1/(1-A049469).

A206307/A206308 + 6 -> 1/(1-A049469).

Abs(A206308/(1-sin(1)) - (A206307 + 6*A206308)) -> 0.