A309822 Digits of the 10-adic integer (123456789/(1-10^9))^(1/7).

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

Offset

0,1

Comments

x = ...360427291675787237496648325197272669.

x^7 = ...123456789123456789123456789123456789.

Links

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

Example

          9^7 == 9         (mod 10).
         69^7 == 89        (mod 10^2).
        669^7 == 789       (mod 10^3).
       2669^7 == 6789      (mod 10^4).
      72669^7 == 56789     (mod 10^5).
     272669^7 == 456789    (mod 10^6).
    7272669^7 == 3456789   (mod 10^7).
   97272669^7 == 23456789  (mod 10^8).
  197272669^7 == 123456789 (mod 10^9).

Prog

(PARI) N=100; M=123456789/(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 (123456789/(1-10^9))^(1/k): A309821 (k=3), this sequence (k=7), A309823 (k=9).

Cf. A309819.

Sequence in context: A354295 A100044 A327956 * A195365 A092513 A260315

Adjacent sequences: A309819 A309820 A309821 * A309823 A309824 A309825

Keyword

nonn,base

Author

Seiichi Manyama, Aug 18 2019

Status

approved