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A318331 The 10-adic integer a_4 = ...25039135394 satisfying a_4^5 + 1 = a_5, a_5^5 + 1 = a_6, ... , a_2^5+ 1 = a_3 and a_3^5 + 1 = a_4. 10

%I #21 Aug 26 2018 11:57:22

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

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

%U 5,6,6,8,3,4,6,3,4,8,8,0,5,0,9,0,6,0,8,5,9,8,9

%N The 10-adic integer a_4 = ...25039135394 satisfying a_4^5 + 1 = a_5, a_5^5 + 1 = a_6, ... , a_2^5+ 1 = a_3 and a_3^5 + 1 = a_4.

%H Seiichi Manyama, <a href="/A318331/b318331.txt">Table of n, a(n) for n = 0..5000</a>

%e 25039135394^5 + 1 == 85011784225 (mod 10^11),

%e 85011784225^5 + 1 == 17275390626 (mod 10^11),

%e 17275390626^5 + 1 == 89599609377 (mod 10^11),

%e 89599609377^5 + 1 == 74462890658 (mod 10^11),

%e 74462890658^5 + 1 == 75576244769 (mod 10^11),

%e 75576244769^5 + 1 == 34474674850 (mod 10^11),

%e 34474674850^5 + 1 == 67812500001 (mod 10^11),

%e 67812500001^5 + 1 == 39062500002 (mod 10^11),

%e 39062500002^5 + 1 == 25000000033 (mod 10^11),

%e 25000000033^5 + 1 == 25039135394 (mod 10^11).

%Y Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), this sequence (a_4), A318332 (a_5), A318333 (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).

%K nonn,base

%O 0,1

%A _Seiichi Manyama_, Aug 24 2018

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)