A225443 Digits of the 10-adic integer (-1/9)^(1/7).

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

Offset

0,2

Links

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

Example

       1^7 == 1      (mod 10).
      31^7 == 11     (mod 10^2).
      31^7 == 111    (mod 10^3).
    1031^7 == 1111   (mod 10^4).
   91031^7 == 11111  (mod 10^5).
  191031^7 == 111111 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(10^i-1)/9; for(x=0, 9, if(((n+(x*10^(i-1)))^7)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))
(PARI) Vecrev(digits(truncate((-1/9+O(10^100))^(1/7)))) \\ Seiichi Manyama, Aug 04 2019
(PARI) N=100; Vecrev(digits(lift(chinese(Mod((-1/9+O(2^N))^(1/7), 2^N), Mod((-1/9+O(5^N))^(1/7), 5^N)))), N) \\ Seiichi Manyama, Aug 04 2019

Crossrefs

Digits of 10-adic integers:

A225446 ( 9^(1/7));

A225449 ( (-9)^(1/7));

A225452 ((1/9)^(1/7)).

Sequence in context: A099097 A152150 A136239 * A222060 A256549 A211608

Adjacent sequences: A225440 A225441 A225442 * A225444 A225445 A225446

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved