A068433 Expansion of log(3) in base 2.

1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1

Offset: 1

Author

Benoit Cloitre, Mar 09 2002

Keywords

• base
• cons
• easy
• nonn

Examples

			The decimal expansion is log(3) = 1.098612288668109...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002391.

Programs

JavaScript

function binaryExp(n) {
x = new Array();
for (i = 0; i < 50; i++) if (n - Math.pow(2, 1 - i) >= 0) {n -= Math.pow(2, 1 - i); x[i] = 1;} else x[i] = 0;
return x;
}
document.write(Math.log(3) + "
");
document.write(binaryExp(Math.log(3))); // Jon Perry, Nov 18 2012

Mathematica

RealDigits[Log[3], 2, 108][[1]] (* Alonso del Arte, Feb 17 2013 *)

PARI

concat(binary(log(3))) \\ Michel Marcus, Dec 14 2017