cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A225448 10-adic integer x such that x^7 = -7.

This page as a plain text file.
%I A225448 #13 Aug 08 2019 10:49:03
%S A225448 7,5,6,7,8,9,0,5,3,7,3,3,6,4,6,6,6,5,0,1,9,2,0,2,6,0,4,1,8,0,4,7,9,7,
%T A225448 6,4,0,4,0,9,9,2,5,6,0,8,3,5,4,9,7,1,5,0,8,1,0,2,1,0,1,8,9,4,3,0,4,0,
%U A225448 3,9,8,6,9,2,1,4,2,2,1,4,8,7,0,0,0,4,7,0,0,6,4,1,1,6,8,3,5,8,0,2
%N A225448 10-adic integer x such that x^7 = -7.
%C A225448 This is the 10's complement of A225445.
%H A225448 Seiichi Manyama, <a href="/A225448/b225448.txt">Table of n, a(n) for n = 0..10000</a>
%e A225448        7^7 == -7 (mod 10).
%e A225448       57^7 == -7 (mod 10^2).
%e A225448      657^7 == -7 (mod 10^3).
%e A225448     7657^7 == -7 (mod 10^4).
%e A225448    87657^7 == -7 (mod 10^5).
%e A225448   987657^7 == -7 (mod 10^6).
%o A225448 (PARI) n=0;for(i=1,100,m=(10^i-7);for(x=0,9,if(((n+(x*10^(i-1)))^7)%(10^i)==m,n=n+(x*10^(i-1));print1(x", ");break)))
%o A225448 (PARI) N=100; Vecrev(digits(lift(chinese(Mod((-7+O(2^N))^(1/7), 2^N), Mod((-7+O(5^N))^(1/7), 5^N)))), N) \\ _Seiichi Manyama_, Aug 06 2019
%Y A225448 Cf. A225445.
%K A225448 nonn,base
%O A225448 0,1
%A A225448 _Aswini Vaidyanathan_, May 11 2013