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A309820 Digits of the 10-adic integer (987654321/(1-10^9))^(1/9).

%I A309820 #17 Aug 23 2019 11:20:05
%S A309820 1,8,8,0,4,8,4,1,9,6,7,0,7,7,1,0,5,0,5,6,6,3,6,0,7,8,5,4,6,6,7,3,7,8,
%T A309820 3,3,6,5,8,6,2,2,5,7,8,4,5,0,5,0,3,1,2,4,3,3,9,7,9,7,8,7,6,1,3,4,1,2,
%U A309820 2,9,7,7,4,9,2,8,0,0,4,3,4,9,7,5,3,7,1,9,1,1,7,8,3,5,0,7,5,2,3,3
%N A309820 Digits of the 10-adic integer (987654321/(1-10^9))^(1/9).
%C A309820 x   = ...338737664587063665050177076914840881.
%C A309820 x^9 = ...987654321987654321987654321987654321.
%H A309820 Seiichi Manyama, <a href="/A309820/b309820.txt">Table of n, a(n) for n = 0..10000</a>
%e A309820           1^9 == 1         (mod 10).
%e A309820          81^9 == 21        (mod 10^2).
%e A309820         881^9 == 321       (mod 10^3).
%e A309820         881^9 == 4321      (mod 10^4).
%e A309820       40881^9 == 54321     (mod 10^5).
%e A309820      840881^9 == 654321    (mod 10^6).
%e A309820     4840881^9 == 7654321   (mod 10^7).
%e A309820    14840881^9 == 87654321  (mod 10^8).
%e A309820   914840881^9 == 987654321 (mod 10^9).
%o A309820 (PARI) N=100; M=987654321/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/9), 2^N), Mod((M+O(5^N))^(1/9), 5^N)))), N)
%Y A309820 Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): A309818 (k=3), A309819 (k=7), this sequence (k=9).
%Y A309820 Cf. A010888, A138531, A309823, A309826.
%K A309820 nonn,base
%O A309820 0,2
%A A309820 _Seiichi Manyama_, Aug 18 2019