%I A081463
%S A081463 1,102564,1012658227848,105263157894736842,1014492753623188405797,
%T A081463 1034482758620689655172413793,102040816326530612244897959183673469387755,
%U A081463 10112359550561797752808988764044943820224719,1016949152542372881355932203389830508474576271186440677966
%N A081463 Numbers which when multiplied by their final digit have products with 
               same digital sequence except that last is first. Numbers obtained 
               by concatenating a term any number of times with itself also have 
               the defining property and are omitted.
%C A081463 The final digit determines the number by an obvious algorithm (see PARI 
               program), hence the sequence has exactly nine terms (for final digit 
               1, ..., 9), self-concatenations being excluded. - Klaus Brockhaus 
               (klaus-brockhaus(AT)t-online.de) Apr 24 2003
%D A081463 M. J. Halm, More Sequences, Mpossibilities 83, April 2003.
%D A081463 C. A. Pickover, Wonders of Numbers, p. 193.
%H A081463 M. J. Halm, <a href="http://untilheaven.tripod.com/id112.htm">Sequences</
               a>
%H A081463 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>
%e A081463 a(1) = 102564 because 102564*4 = 410256
%o A081463 (PARI) {f(digit)=local(v,m,k,c,s); v=""; m=0; k=digit; c=0; while(m!=digit,
               v=concat(k,v); m=digit*k+c; s=divrem(m,10); c=s[1]; k=s[2]); eval(v)}
%Y A081463 Sequence in context: A010329 A034089 A146569 this_sequence A014884 A015330 
               A147526
%Y A081463 Adjacent sequences: A081460 A081461 A081462 this_sequence A081464 A081465 
               A081466
%K A081463 nonn,base,fini,full
%O A081463 1,2
%A A081463 Michael Joseph Halm (hierogamous(AT)lycos.com), Apr 20 2003
%E A081463 Edited and missing terms added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) 
               Apr 22 2003