A225451 10-adic integer x such that x^7 = 1/3.

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

Offset

0,1

Comments

This is the 10's complement of A225442.

Links

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

Example

       3^7 == -3      (mod 10).
      63^7 == -33     (mod 10^2).
     563^7 == -333    (mod 10^3).
    2563^7 == -3333   (mod 10^4).
   42563^7 == -33333  (mod 10^5).
  742563^7 == -333333 (mod 10^6).

Prog

(PARI) n=0; for(i=1, 100, m=(2*(10^i-1)/3)+1; for(x=0, 9, if(((n+(x*10^(i-1)))^7)%(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))^(1/7), 2^N), Mod((1/3+O(5^N))^(1/7), 5^N)))), N) \\ Seiichi Manyama, Aug 06 2019

Crossrefs

Cf. A225442.

Sequence in context: A154008 A144179 A155540 * A131955 A249281 A316169

Adjacent sequences: A225448 A225449 A225450 * A225452 A225453 A225454

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 11 2013

Status

approved