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Search: id:A159774
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| A159774 |
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Least number m, written in base n, such that m/2 is obtained merely by shifting the leftmost digit of m to the right end, and 2m by shifting the rightmost digit of m to the left end, digits defined in base n. |
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+0
4
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| 1012, 102, 102342, 1031345242, 103524563142, 1042, 10467842, 105263157894736842, 316, 10631694842
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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10(b2) and 31(b5) do not both halve and double by rotations. No 2-digit answer can meet the description, so the sequence begins with a base 3 value.
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LINKS
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W. A. Hoffman III, Algorithm to compute terms.
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EXAMPLE
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1042(b8)/2 = 421(b8) and 1042(b8)*2 = 2104(b8)
316 (base 11) = 380 (base 10), 163 (base 11) = 190 (base 10), 631 (base 11) = 760 (base 10).
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CROSSREFS
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Cf. A092697, A097717, A094224, A094676, A158877.
See A147514 for these numbers written in base 10.
Sequence in context: A115769 A094946 A158877 this_sequence A072140 A080467 A023058
Adjacent sequences: A159771 A159772 A159773 this_sequence A159775 A159776 A159777
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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William A. Hoffman III (whoff(AT)robill.com), Apr 21 2009
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EXTENSIONS
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Offset corrected by N. J. A. Sloane, Apr 23 2009
a(11) corrected. To indicate that terms from base n=13 on need digits larger than 9, keywords fini, full added. - Ray Chandler (rayjchandler(AT)sbcglobal.net) and Richard J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009
Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 02 2009
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