A309819 Digits of the 10-adic integer (987654321/(1-10^9))^(1/7).

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

Offset

0,2

Comments

x = ...612123123752627210431674758928842961.

x^7 = ...987654321987654321987654321987654321.

Links

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

Example

          1^7 == 1         (mod 10).
         61^7 == 21        (mod 10^2).
        961^7 == 321       (mod 10^3).
       2961^7 == 4321      (mod 10^4).
      42961^7 == 54321     (mod 10^5).
     842961^7 == 654321    (mod 10^6).
    8842961^7 == 7654321   (mod 10^7).
   28842961^7 == 87654321  (mod 10^8).
  928842961^7 == 987654321 (mod 10^9).

Prog

(PARI) N=100; M=987654321/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/7), 2^N), Mod((M+O(5^N))^(1/7), 5^N)))), N)

Crossrefs

Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): A309818 (k=3), this sequence (k=7), A309820 (k=9).

Cf. A010888, A138531, A309822, A309825.

Sequence in context: A072364 A087016 A161480 * A309825 A289503 A349522

Adjacent sequences: A309816 A309817 A309818 * A309820 A309821 A309822

Keyword

nonn,base

Author

Seiichi Manyama, Aug 18 2019

Status

approved