

A159863


a(3)(baseN) = least number m such that the quotient m/3 is obtained merely by shifting the leftmost digit (MSD) of m to the right end (LSD), and the multiple 3m by shifting the LSD of m to the MSD, in order of increasing number base, N.


1




OFFSET

4,1


COMMENTS

1001b2, 10b3 and 51b7 do not triple by specified shift and are not included although they allow MSD>LSD shift to make m/3. No 2digit number qualifies because the shift is an exchange (e.g., 51b7/3=15b7). 2076b11 is the highest order number of this type to be represented without letter digits.


LINKS



EXAMPLE

2076b11/3=762b11 (2745/3=915) and 3*2076b11=6207b11 (3*2745=8235).


CROSSREFS

See A160116 for these numbers written in base 10.


KEYWORD

base,nonn,fini,full


AUTHOR

William A. Hoffman III (whoff(AT)robill.com), Apr 24 2009


EXTENSIONS



STATUS

approved



