1,3

Also called curious numbers.

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

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.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 76, p. 26, Ellipses, Paris 2008.

V. deGuerre and R. A. Fairbairn, Automorphic numbers, J. Rec. Math., 1 (No. 3, 1968), 173-179.

R. A. Fairbairn, More on automorphic numbers, J. Rec. Math., 2 (No. 3, 1969), 170-174.

Jan Gullberg, Mathematics, From the Birth of Numbers, W. W. Norton & Co., NY, page 253-4.

B. A. Naik, 'Automorphic numbers' in 'Science Today'(subsequently renamed '2001') May 1982 pp. 59, Times of India, Mumbai.

Ya. I. Perelman, Algebra can be fun, pp. 97-98.

C. P. Schut, Idempotents. Report AM-R9101, Centrum voor Wiskunde en Informatica, Amsterdam, 1991.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Xiaolong Ron Yu, Curious Numbers, Pi Mu Epsilon Journal, Spring 1999, pp. 819-823.

W. Schneider, Automorphic Numbers [Broken link?]

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to automorphic numbers

Equals {0, 1} union A007185 union A016090.

Cf. A035383, A052228, A033819.

Sequence in context: A136888 A038248 A046831 this_sequence A137081 A137079 A163658

Adjacent sequences: A003223 A003224 A003225 this_sequence A003227 A003228 A003229

nonn,base,nice,easy

N. J. A. Sloane (njas(AT)research.att.com).

More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 11 2001

Edited by David W. Wilson, Sep 26, 2002