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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
15, 18, 114, 1107, 11004, 110007, 1100004, 11000007, 110000004, 1100000007, 11000000004, 110000000007, 1100000000004, 11000000000007, 110000000000004, 1100000000000007, 11000000000000004, 110000000000000007, 1100000000000000004, 11000000000000000007 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..20.

EXAMPLE

*15->45->54->*18->81->243->342->*114->411->1233->3321->*1107->7011->21033->33012->*11004->

Numbers marked with * are members.

CROSSREFS

Cf. A083822, A083824, A083825.

Sequence in context: A125008 A290015 A274979 * A222682 A220787 A167322

Adjacent sequences:  A083820 A083821 A083822 * A083824 A083825 A083826

KEYWORD

base,easy,nonn

AUTHOR

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

STATUS

approved

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Last modified October 13 23:52 EDT 2019. Contains 327983 sequences. (Running on oeis4.)