A225454 10-adic integer x such that x^9 = -1/3.

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

Offset

0,1

Links

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

Example

       3^9 == 3      (mod 10).
      53^9 == 33     (mod 10^2).
     853^9 == 333    (mod 10^3).
    8853^9 == 3333   (mod 10^4).
   48853^9 == 33333  (mod 10^5).
  348853^9 == 333333 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(10^i-1)/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((-1/3+O(2^N))^(1/9), 2^N), Mod((-1/3+O(5^N))^(1/9), 5^N)))), N) \\ Seiichi Manyama, Aug 07 2019

Crossrefs

Sequence in context: A081859 A046086 A272213 * A131977 A139125 A354415

Adjacent sequences: A225451 A225452 A225453 * A225455 A225456 A225457

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Extensions

Offset changed back to 0. - N. J. A. Sloane, Aug 08 2019

Status

approved