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A225463
10-adic integer x such that x^9 = 1/3.
1
7, 4, 1, 1, 5, 6, 4, 8, 1, 0, 5, 6, 9, 7, 1, 2, 6, 3, 4, 0, 0, 8, 5, 0, 1, 9, 6, 3, 9, 3, 2, 5, 1, 3, 4, 7, 5, 4, 3, 1, 9, 0, 7, 8, 3, 7, 0, 7, 9, 9, 3, 7, 5, 9, 5, 3, 8, 9, 0, 8, 8, 2, 9, 4, 4, 1, 3, 3, 8, 0, 5, 6, 0, 4, 3, 2, 6, 1, 2, 6, 2, 4, 4, 6, 5, 7, 4, 0, 6, 1, 7, 2, 2, 6, 0, 1, 2, 4, 9, 5
OFFSET
0,1
COMMENTS
This is the 10's complement of A225454.
LINKS
EXAMPLE
7^9 == -3 (mod 10).
47^9 == -33 (mod 10^2).
147^9 == -333 (mod 10^3).
1147^9 == -3333 (mod 10^4).
51147^9 == -33333 (mod 10^5).
651147^9 == -333333 (mod 10^6).
PROG
(PARI) n=0; for(i=1, 100, m=(2*(10^i-1)/3)+1; for(x=0, 9, if(((n+(x*10^(i-1)))^9)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))
(PARI) N=100; Vecrev(digits(lift(chinese(Mod((1/3+O(2^N))^(1/9), 2^N), Mod((1/3+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019
CROSSREFS
Cf. A225454.
Sequence in context: A011101 A021935 A131028 * A010138 A371851 A199157
KEYWORD
nonn,base
AUTHOR
Aswini Vaidyanathan, May 11 2013
STATUS
approved