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A321081
Digits of the 2-adic integer log_5(-3).
3
1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1
OFFSET
0,1
COMMENTS
See A321080 for the definition of log_5(-3) and more information.
Multiplicative inverse of A321083.
LINKS
FORMULA
a(n) = 0 if 5^A321080(n+2) + 3 is divisible by 2^(n+3), otherwise 1.
Equals to A321694/A152228.
EXAMPLE
log_5(-3) = ...1000011001011001010001001010011010100011.
PROG
(PARI) b(n) = {my(v=vector(n)); v[2]=0; for(n=3, n, v[n] = v[n-1] + if(Mod(5, 2^n)^v[n-1] + 3==0, 0, 2^(n-3))); v}
a(n) = b(n+3)[n+3]\2^n
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jianing Song, Oct 27 2018
STATUS
approved