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A321083 Digits of the 2-adic integer log_(-3)(5). 3
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 (list; graph; refs; listen; history; text; internal format)
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: A058840 A266155 A262683 * A154269 A036987 A181101

Adjacent sequences:  A321080 A321081 A321082 * A321084 A321085 A321086

KEYWORD

nonn,base

AUTHOR

Jianing Song, Oct 27 2018

STATUS

approved

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Last modified November 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)