

A146025


Numbers that can be written from base 2 to base 5 using only the digits 0 and 1.


8




OFFSET

1,3


COMMENTS

Conjectured to be complete. a(4), if it exists, is greater than 10^15.  Charles R Greathouse IV, Apr 06 2012
Checked to 3125 (5^5) base5 digits in just under 1/2 hour using a minor modification of the PARI program at A230360. Interestingly, with 5 replaced by 9 and the digits 2 and 3 permitted, it appears the complete set issomewhat coincidental with this{0, 1, 2, 3, 8281, 8282, 8283}.  James G. Merickel, Dec 01 2013


LINKS

Table of n, a(n) for n=1..3.
James Grime and Brady Haran, Why 82,000 is an extraordinary number  Numberphile (2015)


EXAMPLE

82000 = 10100000001010000 (2) = 11011111001 (3) = 110001100 (4) = 10111000 (5).


CROSSREFS

Intersection of A005836, A000695, and A033042.
Cf. A131646, A146027, A230360, A258107.
Sequence in context: A134122 A138044 A098187 * A253957 A253964 A253760
Adjacent sequences: A146022 A146023 A146024 * A146026 A146027 A146028


KEYWORD

bref,fini,full,nonn,base


AUTHOR

Daniel Mondot (dmondot(AT)gmail.com), Oct 26 2008


EXTENSIONS

Edited by Charles R Greathouse IV, Nov 01 2009
Search limit extended to astronomical odds by James G. Merickel, Dec 03 2013


STATUS

approved



