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A309819 Digits of the 10-adic integer (987654321/(1-10^9))^(1/7).

%I A309819 #16 Aug 23 2019 11:24:01
%S A309819 1,6,9,2,4,8,8,2,9,8,5,7,4,7,6,1,3,4,0,1,2,7,2,6,2,5,7,3,2,1,3,2,1,2,
%T A309819 1,6,1,6,5,5,6,8,6,8,4,9,4,0,4,4,0,6,1,4,1,4,5,4,7,1,1,5,4,6,0,4,2,5,
%U A309819 5,7,7,0,8,6,1,2,7,0,0,0,3,4,1,5,4,9,0,9,1,9,3,4,7,8,3,6,5,7,1,0
%N A309819 Digits of the 10-adic integer (987654321/(1-10^9))^(1/7).
%C A309819 x   = ...612123123752627210431674758928842961.
%C A309819 x^7 = ...987654321987654321987654321987654321.
%H A309819 Seiichi Manyama, <a href="/A309819/b309819.txt">Table of n, a(n) for n = 0..10000</a>
%e A309819           1^7 == 1         (mod 10).
%e A309819          61^7 == 21        (mod 10^2).
%e A309819         961^7 == 321       (mod 10^3).
%e A309819        2961^7 == 4321      (mod 10^4).
%e A309819       42961^7 == 54321     (mod 10^5).
%e A309819      842961^7 == 654321    (mod 10^6).
%e A309819     8842961^7 == 7654321   (mod 10^7).
%e A309819    28842961^7 == 87654321  (mod 10^8).
%e A309819   928842961^7 == 987654321 (mod 10^9).
%o A309819 (PARI) N=100; M=987654321/(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)
%Y A309819 Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): A309818 (k=3), this sequence (k=7), A309820 (k=9).
%Y A309819 Cf. A010888, A138531, A309822, A309825.
%K A309819 nonn,base
%O A309819 0,2
%A A309819 _Seiichi Manyama_, Aug 18 2019