A225462 10-adic integer x such that x^9 = 7/9.

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

Offset

0,1

Comments

This is the 10's complement of A225453.

Links

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

Example

       3^9 == -7      (mod 10).
      63^9 == -77     (mod 10^2).
     663^9 == -777    (mod 10^3).
    5663^9 == -7777   (mod 10^4).
   15663^9 == -77777  (mod 10^5).
  915663^9 == -777777 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(2*(10^i-1)/9)+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((7/9+O(2^N))^(1/9), 2^N), Mod((7/9+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019

Crossrefs

Cf. A225453.

Sequence in context: A339021 A197263 A074785 * A179949 A187601 A113737

Adjacent sequences: A225459 A225460 A225461 * A225463 A225464 A225465

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved