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| A144539
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Unique sequence of digits a(0), a(1), a(2), .. such that for all k >= 2, the number A(k) := Sum_{n = 0..k-1 } a(n)*10^n satisfies 11^A(k) == A(k) mod 10^k.
(history;
published version)
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#22 by Bruno Berselli at Fri Feb 09 09:09:11 EST 2018
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#21 by Wesley Ivan Hurt at Fri Feb 09 08:39:00 EST 2018
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#20 by Michel Marcus at Fri Feb 09 07:07:02 EST 2018
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#19 by Michel Marcus at Fri Feb 09 07:06:58 EST 2018
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| LINKS
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J. Jimenez Urroz and J. Luis A. Yebra, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL12/Yebra/yebra4.html">On the equation a^x == x (mod b^n), )</a>, J. Int. Seq. 12 (2009) #09.8.8.
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| STATUS
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approved
editing
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#18 by Bruno Berselli at Thu Mar 06 18:24:35 EST 2014
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#17 by Bruno Berselli at Thu Mar 06 18:24:31 EST 2014
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| EXAMPLE
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=116666271978307662027198793432698117510204594399945393924384160568806429261664...
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| STATUS
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proposed
editing
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#16 by Michel Marcus at Thu Mar 06 16:18:56 EST 2014
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#15 by Michel Marcus at Thu Mar 06 16:18:38 EST 2014
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| LINKS
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J. Jimenez Urroz and J. Luis A. Yebra, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL12/Yebra/yebra4.html">On the equation a^x == x (mod b^n), J. Int. Seq. 12 (2009) #09.8.8
J. Jimenez Urroz and J. Luis A. Yebra, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL12/Yebra/yebra4.html">On the equation a^x == x (mod b^n), J. Int. Seq. 12 (2009) #09.8.8
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proposed
editing
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#14 by Robert G. Wilson v at Thu Mar 06 15:58:59 EST 2014
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#13 by Robert G. Wilson v at Thu Mar 06 15:53:38 EST 2014
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| LINKS
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Robert G. Wilson v, <a href="/A144539/b144539.txt">Table of n, a(n) for n = 0..1024</a>
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| EXAMPLE
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==116666271978307662027198793432698117510204594399945393924384160568806429261664...
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| CROSSREFS
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Cf. A133612, A133613, A133614, A133615, A133616, A133617, A133618, A133619, A144540, A144541, A144542, A144543, A144544.
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