A152228 2-adic expansion of log(5).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Wikipedia, p-adic number

Formula

a(n) = (A321690(n+1) - A321690(n))/2^n. - Jianing Song, Nov 17 2018

Example

log(5) (2-adic) = ...0001110110010010000000011100100010011001111100 (base 2).
log(5) (2-adic) = 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^9 + 2^10 + 2^13 +...
exp( log(5) (2-adic) ) = 101 (base 2) = 5.

Prog

(PARI) a(n)=(truncate( log(5+2*O(2^n)) )%2^(n+1))\2^n

Crossrefs

Cf. A068434, A321690, A321694 (log(-3)).

Sequence in context: A095190 A131735 A131736 * A368625 A086823 A228487

Adjacent sequences: A152225 A152226 A152227 * A152229 A152230 A152231

Keyword

base,nonn

Author

Paul D. Hanna, Nov 29 2008

Status

approved