A321083 Digits of the 2-adic integer log_(-3)(5).

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

Offset

0,1

Comments

See A321082 for the definition of log_5(-3) and more information.

Multiplicative inverse of A321081.

Links

Jianing Song, Table of n, a(n) for n = 0..1000

Wikipedia, p-adic number

Formula

a(n) = 0 if (-3)^A321082(n+2) - 5 is divisible by 2^(n+3), otherwise 1.

Equals to A152228/A321694.

Example

log_(-3)(5) = ...0110111111010101110010000011110100001011.

Prog

(PARI) b(n) = {my(v=vector(n)); v[3]=1; for(n=4, n, v[n] = v[n-1] + if(Mod(-3, 2^n)^v[n-1] - 5==0, 0, 2^(n-3))); v}
a(n) = b(n+3)[n+3]\2^n

Crossrefs

Cf. A321081, A321082, A321694.

Sequence in context: A266155 A262683 A359816 * A154269 A036987 A354193

Adjacent sequences: A321080 A321081 A321082 * A321084 A321085 A321086

Keyword

nonn,base

Author

Jianing Song, Oct 27 2018

Status

approved