

A083823


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.


3



15, 18, 114, 1107, 11004, 110007, 1100004, 11000007, 110000004, 1100000007, 11000000004, 110000000007, 1100000000004, 11000000000007, 110000000000004, 1100000000000007, 11000000000000004, 110000000000000007, 1100000000000000004, 11000000000000000007
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OFFSET

1,1


COMMENTS

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).


LINKS



EXAMPLE

*15>45>54>*18>81>243>342>*114>411>1233>3321>*1107>7011>21033>33012>*11004>
Numbers marked with * are members.


CROSSREFS



KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003


STATUS

approved



