%I A007629 M4922
%S A007629 14,19,28,47,61,75,197,742,1104,1537,2208,2580,3684,4788,7385,7647,7909,
%T A007629 31331,34285,34348,55604,62662,86935,93993,120284,129106,147640,156146,
               174680,
%U A007629 183186,298320,355419,694280,925993,1084051,7913837,11436171,33445755,
               44121607
%N A007629 Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers).
%C A007629 Numbers n>9 with following property: form a sequence whose initial terms 
               are the t digits of n, later terms given by rule b(i)=sum of t previous 
               terms; then n itself appears in the sequence.
%D A007629 Author?, J. Rec. Math., vol. 21, no. 4, p. 310, 1989.
%D A007629 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 197, p. 59, Ellipses, 
               Paris 2008.
%D A007629 M. Keith, Repfigit Numbers, J. Recreational Math., Vol. 19, No. 2, pp. 
               41-42, 1987.
%D A007629 C. A. Pickover, All Known Replicating Fibonacci Digits Less Than One 
               Billion, J. Recreational Math., Vol. 22, No. 3, p. 176, 1990.
%D A007629 C. A. Pickover, Computers and the Imagination, St. Martin's Press, NY, 
               1991, p. 229.
%D A007629 C. A. Pickover, Wonders of Numbers, "Looping Replicating Fibonacci digits", 
               pp. 174-5, OUP 2000.
%D A007629 K. Sherriff, Computing Replicating Fibonacci Digits, J. Recreational 
               Math., Vol. 26, No. 3, p. 191, 1994.
%D A007629 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007629 David Wells, The Penguin Dictionary of Curious and Interesting Numbers, 
               see p. 71.
%H A007629 N. J. A. Sloane, <a href="b007629.txt">Table of n, a(n) for n = 1..94</
               a> [Taken from first Keith link below.]
%H A007629 M. Keith, <a href="http://users.aol.com/s6sj7gt/mikekeit.htm">Keith numbers</
               a>
%H A007629 M. Keith, <a href="http://users.aol.com/s6sj7gt/keithnum.htm">Determination 
               of All Keith Numbers Up to 10^19.</a>
%H A007629 M. Klazar and F. Luca, <a href="http://www.arXiv.org/abs/math/0608419">
               Counting Keith numbers</a>
%H A007629 Madras Math's Amazing Number Facts, <a href="http://www.madras.fife.sch.uk/
               maths/amazingnofacts/fact049.html">Repfigits</a>
%H A007629 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind 
               and Meaning," <a href="http://www.emis.de/cgi-bin/zmen/ZMATH/en/quick.html?first=1&maxdocs=3&type=html&an\
               =0983.00008&format=complete">Zentralblatt review</a>
%H A007629 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               KeithNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A007629 Wikipedia, <a href="http://en.wikipedia.org/wiki/Keith_number">Keith 
               number</a>
%e A007629 197 is a term since sequence is 1, 9, 7, 17, 33, 57, 107, 197, ..., which 
               contains 197.
%Y A007629 Cf. A006576, A048970, A050235. See A130010 for another version.
%Y A007629 Sequence in context: A120158 A130792 A121235 this_sequence A092768 A144080 
               A006576
%Y A007629 Adjacent sequences: A007626 A007627 A007628 this_sequence A007630 A007631 
               A007632
%K A007629 nonn,base,nice
%O A007629 1,1
%A A007629 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. 
               Wilson v (rgwv(AT)rgwv.com)
%E A007629 12th term corrected from 2508 to 2580 Aug 15 1997. More terms from Mike 
               Keith (Domnei(AT)aol.com) Feb 15 1999.