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A225462 10-adic integer x such that x^9 = 7/9. 1

%I #13 Aug 17 2019 02:18:17

%S 3,6,6,5,1,9,1,8,2,1,3,5,2,4,8,9,7,4,8,2,8,2,7,5,9,1,8,8,5,1,2,9,3,4,

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

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

%N 10-adic integer x such that x^9 = 7/9.

%C This is the 10's complement of A225453.

%H Seiichi Manyama, <a href="/A225462/b225462.txt">Table of n, a(n) for n = 0..10000</a>

%e 3^9 == -7 (mod 10).

%e 63^9 == -77 (mod 10^2).

%e 663^9 == -777 (mod 10^3).

%e 5663^9 == -7777 (mod 10^4).

%e 15663^9 == -77777 (mod 10^5).

%e 915663^9 == -777777 (mod 10^6).

%o (PARI) n=0;for(i=1,100,m=(2*(10^i-1)/9)+1;for(x=0,9,if(((n+(x*10^(i-1)))^9)%(10^i)==m,n=n+(x*10^(i-1));print1(x", ");break)))

%o (PARI) N=100; Vecrev(digits(lift(chinese(Mod((7/9+O(2^N))^(1/9), 2^N), Mod((7/9+O(5^N))^(1/9), 5^N)))), N) \\ _Seiichi Manyama_, Aug 07 2019

%Y Cf. A225453.

%K nonn,base

%O 0,1

%A _Aswini Vaidyanathan_, May 11 2013

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Last modified September 2 22:46 EDT 2024. Contains 375620 sequences. (Running on oeis4.)