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.

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.

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

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

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

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

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

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

Index entries for sequences related to automorphic numbers

W. Schneider, Automorphic Numbers

W. Schneider, Automorphic Numbers

Equals {0, 1} union A007185 union A016090.

Cf. A035383, A052228, A033819.

Adjacent sequences: A003223 A003224 A003225 this_sequence A003227 A003228 A003229

Sequence in context: A136888 A038248 A046831 this_sequence A137081 A137079 A121180

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