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A165305
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a(n) is the smallest number not yet in the sequence such that the concatenation of all terms yields a periodic stream of digits 1, 2, 3, ..., 7 (repeat from 1).
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2
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1, 2, 3, 4, 5, 6, 7, 12, 34, 56, 71, 23, 45, 67, 123, 456, 712, 345, 671, 234, 567, 1234, 5671, 2345, 6712, 3456, 7123, 4567, 12345, 67123, 45671, 23456, 71234, 56712, 34567, 123456, 712345, 671234, 567123, 456712, 345671, 234567, 1234567
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| For a(8), having already 1, 2, 3, 4, 5, 6, 7, the next number must be 12 because after 1,2,3,4,5,6,7 we shall continue with a 1.
But 1 is already in the sequence so we need to add a 2 -> 12. And so on.
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CROSSREFS
| Cf. A165300-A165304, A165306, A165307
Sequence in context: A200446 A033079 A173819 * A125745 A032990 A060810
Adjacent sequences: A165302 A165303 A165304 * A165306 A165307 A165308
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KEYWORD
| easy,base,nonn
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AUTHOR
| Paolo P. Lava & Giorgio Balzarotti (paoloplava(AT)gmail.com), Sep 14 2009
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EXTENSIONS
| Keyword base added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2010
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