A225453 10-adic integer x such that x^9 = -7/9.

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

Offset

0,1

Links

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

Example

      7^9 == 7      (mod 10).
     37^9 == 77     (mod 10^2).
    337^9 == 777    (mod 10^3).
   4337^9 == 7777   (mod 10^4).
  84337^9 == 77777  (mod 10^5).
  84337^9 == 777777 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=7*(10^i-1)/9; 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

Sequence in context: A176833 A154019 A011299 * A373100 A153858 A200294

Adjacent sequences: A225450 A225451 A225452 * A225454 A225455 A225456

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved