Search: id:A003226
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%I A003226 M3752
%S A003226 0,1,5,6,25,76,376,625,9376,90625,109376,890625,2890625,7109376,12890625,
%T A003226 87109376,212890625,787109376,1787109376,8212890625,18212890625,
%U A003226 81787109376,918212890625,9918212890625,40081787109376,59918212890625
%N A003226 Automorphic numbers: n^2 ends with n. Also m-morphic numbers for all 
               m not equal to 6 (mod 10).
%C A003226 Also called curious numbers.
%C A003226 For entries after the second, two successive terms sum up to a total 
               having the form 10^n + 1. - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Apr 29 2005
%C A003226 Substring of both its square and its cube not congruent to 0 (mod 10). 
               See A029943 - Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 16 2005.
%D A003226 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 76, p. 26, Ellipses, 
               Paris 2008.
%D A003226 V. deGuerre and R. A. Fairbairn, Automorphic numbers, J. Rec. Math., 
               1 (No. 3, 1968), 173-179.
%D A003226 R. A. Fairbairn, More on automorphic numbers, J. Rec. Math., 2 (No. 3, 
               1969), 170-174.
%D A003226 Jan Gullberg, Mathematics, From the Birth of Numbers, W. W. Norton & 
               Co., NY, page 253-4.
%D A003226 B. A. Naik, 'Automorphic numbers' in 'Science Today'(subsequently renamed 
               '2001') May 1982 pp. 59, Times of India, Mumbai.
%D A003226 Ya. I. Perelman, Algebra can be fun, pp. 97-98.
%D A003226 C. P. Schut, Idempotents. Report AM-R9101, Centrum voor Wiskunde en Informatica, 
               Amsterdam, 1991.
%D A003226 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003226 Xiaolong Ron Yu, Curious Numbers, Pi Mu Epsilon Journal, Spring 1999, 
               pp. 819-823.
%H A003226 W. Schneider, <a href="http://wschnei.de/digit-related-numbers/automorphic-numbers.html">
               Automorphic Numbers</a> [Broken link?]
%H A003226 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AutomorphicNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A003226 <a href="Sindx_Ar.html#automorphic">Index entries for sequences related 
               to automorphic numbers</a>
%Y A003226 Equals {0, 1} union A007185 union A016090.
%Y A003226 Cf. A035383, A052228, A033819.
%Y A003226 Sequence in context: A136888 A038248 A046831 this_sequence A137081 A137079 
               A163658
%Y A003226 Adjacent sequences: A003223 A003224 A003225 this_sequence A003227 A003228 
               A003229
%K A003226 nonn,base,nice,easy
%O A003226 1,3
%A A003226 N. J. A. Sloane (njas(AT)research.att.com).
%E A003226 More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 11 2001
%E A003226 Edited by David W. Wilson, Sep 26, 2002

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