login
A159774
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.
4
1012, 102, 102342, 1031345242, 103524563142, 1042, 10467842, 105263157894736842, 316, 10631694842
OFFSET
3,1
COMMENTS
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.
EXAMPLE
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).
CROSSREFS
See A147514 for these numbers written in base 10.
Sequence in context: A291962 A094946 A158877 * A072140 A023058 A223077
KEYWORD
base,nonn,fini,full
AUTHOR
William A. Hoffman III (whoff(AT)robill.com), Apr 21 2009
EXTENSIONS
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 and R. J. Mathar, Apr 23 2009
Edited by Ray Chandler, May 02 2009
STATUS
approved