login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A318333 The 10-adic integer a_6 = ...17275390626 satisfying a_6^5 + 1 = a_7, a_7^5 + 1 = a_8, ... , a_4^5 + 1 = a_5 and a_5^5 + 1 = a_6. 10

%I #16 Aug 26 2018 11:57:14

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

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

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

%N The 10-adic integer a_6 = ...17275390626 satisfying a_6^5 + 1 = a_7, a_7^5 + 1 = a_8, ... , a_4^5 + 1 = a_5 and a_5^5 + 1 = a_6.

%H Seiichi Manyama, <a href="/A318333/b318333.txt">Table of n, a(n) for n = 0..5000</a>

%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),

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

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

%Y Cf. A318327 (a_0), A318328 (a_1), A318329 (a_2), A318330 (a_3), A318331 (a_4), A318332 (a_5), this sequence (a_6), A318334 (a_7), A318335 (a_8), A318336 (a_9).

%K nonn,base

%O 0,1

%A _Seiichi Manyama_, Aug 24 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 21 00:13 EDT 2024. Contains 375342 sequences. (Running on oeis4.)