A309818 Digits of the 10-adic integer (987654321/(1-10^9))^(1/3).

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

Offset

0,2

Comments

x = ...113171709287171280192602158871517841.

x^3 = ...987654321987654321987654321987654321.

Links

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

Example

          1^3 == 1         (mod 10).
         41^3 == 21        (mod 10^2).
        841^3 == 321       (mod 10^3).
       7841^3 == 4321      (mod 10^4).
      17841^3 == 54321     (mod 10^5).
     517841^3 == 654321    (mod 10^6).
    1517841^3 == 7654321   (mod 10^7).
   71517841^3 == 87654321  (mod 10^8).
  871517841^3 == 987654321 (mod 10^9).

Prog

(PARI) N=100; M=987654321/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/3), 2^N), Mod((M+O(5^N))^(1/3), 5^N)))), N)

Crossrefs

Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): this sequence (k=3), A309819 (k=7), A309820 (k=9).

Cf. A010888, A138531, A309821, A309824.

Sequence in context: A193081 A269574 A309824 * A201658 A146501 A197574

Adjacent sequences: A309815 A309816 A309817 * A309819 A309820 A309821

Keyword

nonn,base

Author

Seiichi Manyama, Aug 18 2019

Status

approved