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A083823
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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.
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3
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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
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1,1
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COMMENTS
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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).
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LINKS
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Table of n, a(n) for n=1..20.
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EXAMPLE
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*15->45->54->*18->81->243->342->*114->411->1233->3321->*1107->7011->21033->33012->*11004->
Numbers marked with * are members.
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CROSSREFS
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Cf. A083822, A083824, A083825.
Sequence in context: A290015 A354818 A274979 * A222682 A220787 A167322
Adjacent sequences: A083820 A083821 A083822 * A083824 A083825 A083826
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003
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STATUS
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approved
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