A225460 10-adic integer x such that x^9 = -7.

3, 9, 3, 0, 5, 7, 6, 9, 2, 6, 3, 2, 0, 3, 7, 3, 2, 2, 7, 8, 5, 9, 0, 7, 3, 4, 3, 0, 2, 1, 0, 1, 0, 2, 4, 9, 6, 2, 6, 2, 1, 4, 7, 1, 9, 6, 7, 3, 3, 6, 8, 6, 5, 8, 6, 2, 4, 6, 5, 4, 6, 5, 3, 4, 6, 4, 1, 9, 0, 3, 2, 6, 0, 8, 3, 5, 5, 4, 0, 6, 1, 5, 8, 1, 3, 5, 8, 1, 4, 0, 3, 7, 3, 5, 6, 6, 6, 8, 0, 9

Offset

0,1

Comments

This is the 10's complement of A225457.

Links

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

Example

       3^9 == -7 (mod 10).
      93^9 == -7 (mod 10^2).
     393^9 == -7 (mod 10^3).
     393^9 == -7 (mod 10^4).
   50393^9 == -7 (mod 10^5).
  750393^9 == -7 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(10^i-7); 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((-7+O(2^N))^(1/9), 2^N), Mod((-7+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 05 2019

Crossrefs

Cf. A225408, A225457.

Sequence in context: A257731 A257733 A098323 * A305274 A293382 A374242

Adjacent sequences: A225457 A225458 A225459 * A225461 A225462 A225463

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved