Smallest base b such that the decimal digits of n interpreted as digits in base b give a square, or 0 if no such base exists.
(history;
published version)
NAME
Smallest base b such that the decimal digits of n, written interpreted as digits in base- b and read as a base-10 number, is give a square (, or 0 if no such base exists).
EXTENSIONS
Name clarified by Felix Fröhlich, and _Kevin Ryde_, May 17 2021
Discussion
Thu May 20
19:00
Kevin Ryde: Hmm, no, I think something like "Smallest base b such that the decimal digits of n interpreted as digits in base b gives a square." Or massage that so it parses better ...
Discussion
Mon May 17
14:27
Felix Fröhlich: Yeah, I think so.
19:58
Kevin Ryde: No I think that's the opposite. Rather here "n written in base 10 and read as base b", yes? (I don't find a sequence for the opposite.)
Wed May 19
14:09
Felix Fröhlich: I (hope to) address this tomorrow.
Thu May 20
08:37
Felix Fröhlich: What about "Smallest base b such that n interpreted as a base-b number and converted to base 10 is a square"?
NAME
Smallest base b such that the n, written in base-b number n and read as a base-10 number , is a square (or 0 if no such base exists).
Discussion
Mon May 17
08:53
Joerg Arndt: better like this?
Discussion
Mon May 17
07:52
Kevin Ryde: Maybe "... the decimal digits of n interpreted as base b give a square" or something like that to be clear which way around is the re-interpret.
NAME
Smallest base b such that the base-b number n read as a base-10 number is a square (or 0 if no such base exists).
Discussion
Mon May 17
07:45
Felix Fröhlich: Yes, adjusted accordingly.
Discussion
Mon May 17
07:41
Joerg Arndt: "base-b number" --> "base-b number read as base-10 number" (the value of a number does not depend on how we write it down).
LINKS
Felix Fröhlich, <a href="/A062070/b062070.txt">Table of n, a(n) for n = 0..10000</a>
