%I #8 Aug 23 2014 13:38:12
%S 15,18,114,1107,11004,110007,1100004,11000007,110000004,1100000007,
%T 11000000004,110000000007,1100000000004,11000000000007,
%U 110000000000004,1100000000000007,11000000000000004,110000000000000007,1100000000000000004,11000000000000000007
%N a(1) = 15; then numbers obtained at every stage of division by 3 in the following process: multiply by 3, reverse the digits, divide by 3, reverse the digits, multiply by 3, reverse the digit, divide by 3.
%C 1. 15 is the smallest number which does not follow a cyclic pattern or terminates at k < 10. 2. A pattern is visible. For 12 one gets the cyclic pattern 12>36>63>21>12>36... for 14 one gets 14 >42>24>8>8... Subsidiary sequences that could be considered: (1) Sequence of numbers which show cyclic pattern. (2) Sequence of numbers which terminate at k,k <10. (3) Numbers which gare not members of (1) and (2).
%e *15>45>54>*18>81>243>342>*114>411>1233>3321>*1107>7011>21033>33012>*11004>
%e Numbers marked with * are members.
%Y Cf. A083822, A083824, A083825.
%K base,easy,nonn
%O 1,1
%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003
