A309825 Digits of the 10-adic integer (2345678987654321/(1-10^16))^(1/7).

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

Offset: 0

Author

Seiichi Manyama, Aug 18 2019

Keywords

• nonn
• base

Comments

x = ...024654846188413589679649928842961.

x^7 = ...123456789876543212345678987654321.

Examples

			                  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).
         9928842961^7 == 8987654321        (mod 10^10).
        49928842961^7 == 78987654321       (mod 10^11).
       649928842961^7 == 678987654321      (mod 10^12).
      9649928842961^7 == 5678987654321     (mod 10^13).
     79649928842961^7 == 45678987654321    (mod 10^14).
    679649928842961^7 == 345678987654321   (mod 10^15).
   9679649928842961^7 == 2345678987654321  (mod 10^16).
  89679649928842961^7 == 12345678987654321 (mod 10^17).
		

Links

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

Crossrefs

Digits of the 10-adic integer (2345678987654321/(1-10^16))^(1/k): A309824 (k=3), this sequence (k=7), A309826 (k=9).

Cf. A309819.

Programs

PARI

N=100; M=2345678987654321/(1-10^16); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/7), 2^N), Mod((M+O(5^N))^(1/7), 5^N)))), N)