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Let L_n be the infinite sequence formed by starting with 1 and repeatedly placing the first digit at the end of the number and adding n to get the next term. If L_n eventually reaches a cycle, sequence gives length of that cycle, otherwise -1.

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9, 9, 3, 9, 18, 3, 15, 9, 1, 18, 9, 6, 9, 18, 6, 18, 9, 1, 18, 36, 9, 18, 36, 9, 90, 9, 3, 18, 36, 9, 18, 27, 3, 18, 9, 3, 45, 36, 6, 9, 27, 12, 27, 18, 3, 72, 36, 9, 9, 27, 9, 27, 18, 3, 99, 27, 9, 45, 27, 9, 27, 18, 3, 27, 27, 9, 45, 27, 18, 27, 18, 3, 27, 27, 9, 54, 27, 9, 27, 36, 3, 27 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`It is conjectured that L_n always reaches a cycle.`
	EXAMPLE	`L_5 enters a cycle of length 18 after 3 steps.`
	CROSSREFS	`Sequence in context: A088398 A083949 A007471 this_sequence A019893 A117023 A013668` `Adjacent sequences: A118736 A118737 A118738 this_sequence A118740 A118741 A118742`
	KEYWORD	`base,nonn`
	AUTHOR	`Luc Stevens (lms022(AT)yahoo.com), May 24 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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