A309821 Digits of the 10-adic integer (123456789/(1-10^9))^(1/3).

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

Offset

0,1

Comments

x = ...149972824111549982669481257464658829.

x^3 = ...123456789123456789123456789123456789.

Links

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

Example

          9^3 == 9         (mod 10).
         29^3 == 89        (mod 10^2).
        829^3 == 789       (mod 10^3).
       8829^3 == 6789      (mod 10^4).
      58829^3 == 56789     (mod 10^5).
     658829^3 == 456789    (mod 10^6).
    4658829^3 == 3456789   (mod 10^7).
   64658829^3 == 23456789  (mod 10^8).
  464658829^3 == 123456789 (mod 10^9).

Prog

(PARI) N=100; M=123456789/(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 (123456789/(1-10^9))^(1/k): this sequence (k=3), A309822 (k=7), A309823 (k=9).

Cf. A309818.

Sequence in context: A086238 A144664 A241560 * A073007 A157215 A021919

Adjacent sequences: A309818 A309819 A309820 * A309822 A309823 A309824

Keyword

nonn,base

Author

Seiichi Manyama, Aug 18 2019

Status

approved