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A321079 Digits of one of the two 11-adic integers sqrt(5). 5

%I #13 Aug 19 2019 10:20:00

%S 7,6,0,6,10,1,5,2,3,3,7,1,3,6,9,2,0,5,0,2,0,8,5,4,0,0,7,0,8,8,9,4,4,5,

%T 3,0,10,4,1,2,7,9,4,5,7,9,1,10,5,2,2,0,6,2,1,9,1,3,9,8,9,10,5,10,8,1,

%U 9,5,8,9,7,9,3,0,7,5,10,6,0,5,9,8,0,8,9,7,10

%N Digits of one of the two 11-adic integers sqrt(5).

%C This square root of 5 in the 11-adic field ends with digit 7. The other, A321078, ends with digit 4.

%H Seiichi Manyama, <a href="/A321079/b321079.txt">Table of n, a(n) for n = 0..10000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/P-adic_number">p-adic number</a>

%F a(n) = (A321077(n+1) - A321077(n))/11^n.

%F For n > 0, a(n) = 10 - A321078(n).

%e ...214A0354498807004580205029631733251A6067.

%o (PARI) a(n) = truncate(-sqrt(5+O(11^(n+1))))\11^n

%Y Cf. A321077, A321078.

%K nonn,base

%O 0,1

%A _Jianing Song_, Oct 27 2018

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Last modified July 13 08:08 EDT 2024. Contains 374274 sequences. (Running on oeis4.)