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 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

%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

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Last modified June 1 03:55 EDT 2023. Contains 363068 sequences. (Running on oeis4.)