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A309823 Digits of the 10-adic integer (123456789/(1-10^9))^(1/9).

%I A309823 #12 Aug 24 2019 10:51:43
%S A309823 9,0,7,6,0,0,6,1,6,9,1,8,2,2,4,2,2,4,8,1,1,7,6,7,7,9,4,7,2,7,2,8,1,4,
%T A309823 3,7,5,2,9,9,1,1,2,2,9,5,0,1,2,6,3,8,3,6,1,8,3,2,0,0,3,9,1,1,1,5,8,4,
%U A309823 3,3,3,8,1,1,9,0,9,4,7,3,8,7,4,5,7,9,2,6,3,8,3,2,1,9,9,4,0,2,2,4
%N A309823 Digits of the 10-adic integer (123456789/(1-10^9))^(1/9).
%C A309823 x   = ...734182727497767118422422819616006709.
%C A309823 x^9 = ...123456789123456789123456789123456789.
%H A309823 Seiichi Manyama, <a href="/A309823/b309823.txt">Table of n, a(n) for n = 0..10000</a>
%e A309823           9^9 == 9         (mod 10).
%e A309823           9^9 == 89        (mod 10^2).
%e A309823         709^9 == 789       (mod 10^3).
%e A309823        6709^9 == 6789      (mod 10^4).
%e A309823        6709^9 == 56789     (mod 10^5).
%e A309823        6709^9 == 456789    (mod 10^6).
%e A309823     6006709^9 == 3456789   (mod 10^7).
%e A309823    16006709^9 == 23456789  (mod 10^8).
%e A309823   616006709^9 == 123456789 (mod 10^9).
%o A309823 (PARI) N=100; M=123456789/(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 A309823 Digits of the 10-adic integer (123456789/(1-10^9))^(1/k): A309821 (k=3), A309822 (k=7), this sequence (k=9).
%Y A309823 Cf. A309820.
%K A309823 nonn,base
%O A309823 0,1
%A A309823 _Seiichi Manyama_, Aug 18 2019