A225459 10-adic integer x such that x^9 = -3.

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

Offset

0,1

Comments

This is the 10's complement of A225456.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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

Adjacent sequences: A225456 A225457 A225458 * A225460 A225461 A225462

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved