A016738 Continued fraction for log(10).

2, 3, 3, 3, 1, 1, 3, 6, 3, 3, 1, 4, 2, 1, 2, 1, 3, 26, 5, 1, 23, 1, 1, 1, 2, 2, 3, 19, 1, 3, 716, 1, 2, 1, 1, 2, 2, 1, 22, 1, 17, 4, 1, 13, 7, 3, 5, 1, 1, 1, 1, 1, 7, 7, 1, 1, 4, 2, 1, 15, 1, 4, 2, 4, 1, 28, 1, 1, 2, 4, 1, 3, 6, 1, 9, 2, 4, 3, 1, 4, 3, 4, 1, 24, 16, 4, 6, 1, 33, 20, 9, 1, 1, 7, 24, 4, 2

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			2.302585092994045684017991454... = 2 + 1/(3 + 1/(3 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, May 16 2009
		

Links

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

Crossrefs

Cf. A002392 (decimal expansion).

Programs

Magma

ContinuedFraction(Log(10)); // G. C. Greubel, Sep 15 2018

Mathematica

ContinuedFraction[ Log[10], 75 ]

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(10)); for (n=1, 20000, write("b016738.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 16 2009

Extensions

More terms from Robert G. Wilson v, Dec 07 2000

Offset changed by Andrew Howroyd, Jul 10 2024