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

1,1

Links

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

Example

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

Mathematica

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

Prog

(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) + "<br>");
document.write(binaryExp(Math.log(3))); // Jon Perry, Nov 18 2012
(PARI) concat(binary(log(3))) \\ Michel Marcus, Dec 14 2017

Crossrefs

Cf. A002391.

Sequence in context: A287663 A195376 A164950 * A266895 A088592 A188189

Adjacent sequences: A068430 A068431 A068432 * A068434 A068435 A068436

Keyword

base,cons,easy,nonn

Author

Benoit Cloitre, Mar 09 2002

Status

approved