A016732 Continued fraction for log(4).

1, 2, 1, 1, 2, 3, 7, 6, 4, 1, 1, 21, 3, 1, 3, 3, 1, 1, 2, 1, 1, 2, 6, 1, 1, 3, 9, 3, 3, 1, 2, 1, 1, 1, 3, 1, 10, 7, 2, 5, 2, 2, 4, 9, 7, 1, 1, 1, 13, 1, 14, 1, 1, 1, 1, 2, 6, 1, 1, 1, 2, 2, 9, 1, 1, 3, 3, 1, 34, 1, 1, 5, 16, 3, 3, 1, 1, 9, 2, 1, 3, 2, 2, 1, 1, 1

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			1.386294361119890618834464242... = 1 + 1/(2 + 1/(1 + 1/(1 + 1/(2 + ...)))). - _Harry J. Smith_, May 16 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..19999
• G. Xiao, Contfrac

Crossrefs

Cf. A016627 (decimal expansion).

Programs

Magma

ContinuedFraction(2*Log(2)); // G. C. Greubel, Sep 15 2018

Mathematica

ContinuedFraction[2*Log[2], 100] (* G. C. Greubel, Sep 15 2018 *)

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(4)); for (n=1, 20000, write("b016732.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 16 2009

Extensions

Offset changed by Andrew Howroyd, Jul 10 2024