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A309818 Digits of the 10-adic integer (987654321/(1-10^9))^(1/3).

%I A309818 #21 Aug 23 2019 11:23:57
%S A309818 1,4,8,7,1,5,1,7,8,8,5,1,2,0,6,2,9,1,0,8,2,1,7,1,7,8,2,9,0,7,1,7,1,3,
%T A309818 1,1,5,8,2,0,4,3,7,0,6,1,3,0,9,6,4,1,6,8,0,8,0,1,6,9,3,8,5,8,8,3,3,4,
%U A309818 8,2,8,1,7,6,1,5,3,7,9,0,3,2,6,9,6,9,6,4,0,5,3,1,0,8,7,5,2,6,9,7
%N A309818 Digits of the 10-adic integer (987654321/(1-10^9))^(1/3).
%C A309818 x   = ...113171709287171280192602158871517841.
%C A309818 x^3 = ...987654321987654321987654321987654321.
%H A309818 Seiichi Manyama, <a href="/A309818/b309818.txt">Table of n, a(n) for n = 0..10000</a>
%e A309818           1^3 == 1         (mod 10).
%e A309818          41^3 == 21        (mod 10^2).
%e A309818         841^3 == 321       (mod 10^3).
%e A309818        7841^3 == 4321      (mod 10^4).
%e A309818       17841^3 == 54321     (mod 10^5).
%e A309818      517841^3 == 654321    (mod 10^6).
%e A309818     1517841^3 == 7654321   (mod 10^7).
%e A309818    71517841^3 == 87654321  (mod 10^8).
%e A309818   871517841^3 == 987654321 (mod 10^9).
%o A309818 (PARI) N=100; M=987654321/(1-10^9); Vecrev(digits(lift(chinese(Mod((M+O(2^N))^(1/3), 2^N), Mod((M+O(5^N))^(1/3), 5^N)))), N)
%Y A309818 Digits of the 10-adic integer (987654321/(1-10^9))^(1/k): this sequence (k=3), A309819 (k=7), A309820 (k=9).
%Y A309818 Cf. A010888, A138531, A309821, A309824.
%K A309818 nonn,base
%O A309818 0,2
%A A309818 _Seiichi Manyama_, Aug 18 2019