A309824 Digits of the 10-adic integer (2345678987654321/(1-10^16))^(1/3).

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

Offset

0,2

Comments

x = ...068250451956420480608557871517841.

x^3 = ...123456789876543212345678987654321.

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).
         7871517841^3 == 8987654321        (mod 10^10).
        57871517841^3 == 78987654321       (mod 10^11).
       557871517841^3 == 678987654321      (mod 10^12).
      8557871517841^3 == 5678987654321     (mod 10^13).
      8557871517841^3 == 45678987654321    (mod 10^14).
    608557871517841^3 == 345678987654321   (mod 10^15).
    608557871517841^3 == 2345678987654321  (mod 10^16).
  80608557871517841^3 == 12345678987654321 (mod 10^17).

Prog

(PARI) N=100; M=2345678987654321/(1-10^16); 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 (2345678987654321/(1-10^16))^(1/k): this sequence (k=3), A309825 (k=7), A309826 (k=9).

Cf. A309818.

Sequence in context: A019650 A193081 A269574 * A309818 A201658 A146501

Adjacent sequences: A309821 A309822 A309823 * A309825 A309826 A309827

Keyword

nonn,base

Author

Seiichi Manyama, Aug 18 2019

Status

approved