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A225459 10-adic integer x such that x^9 = -3. 1
7, 1, 5, 1, 3, 4, 3, 5, 3, 5, 4, 4, 7, 6, 3, 4, 4, 6, 3, 5, 0, 2, 0, 0, 2, 4, 3, 9, 2, 4, 1, 1, 0, 6, 2, 2, 8, 0, 9, 6, 8, 9, 1, 6, 3, 8, 5, 7, 2, 4, 3, 2, 6, 1, 2, 1, 1, 2, 6, 5, 7, 1, 9, 9, 1, 3, 3, 0, 3, 5, 0, 5, 4, 4, 4, 3, 2, 9, 3, 4, 8, 2, 6, 3, 5, 3, 6, 6, 5, 3, 6, 9, 0, 2, 2, 8, 3, 7, 2, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
This is the 10's complement of A225456.
LINKS
EXAMPLE
7^9 == -3 (mod 10).
17^9 == -3 (mod 10^2).
517^9 == -3 (mod 10^3).
1517^9 == -3 (mod 10^4).
31517^9 == -3 (mod 10^5).
431517^9 == -3 (mod 10^6).
PROG
(PARI) n=0; for(i=1, 100, m=(10^i-3); 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((-3+O(2^N))^(1/9), 2^N), Mod((-3+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019
CROSSREFS
Cf. A225456.
Sequence in context: A186168 A117182 A143301 * A317847 A181722 A317833
KEYWORD
nonn,base
AUTHOR
Aswini Vaidyanathan, May 11 2013
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)