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A049364 Smallest number that is digitally balanced in all bases 2, 3, ... n. 12

%I #7 Apr 03 2014 11:35:03

%S 2,572,8410815,59609420837337474

%N Smallest number that is digitally balanced in all bases 2, 3, ... n.

%H Joe K. Crump, <a href="http://www.immortaltheory.com/NumberTheory/">Joe's Number Theory Web</a>.

%Y Cf. A031443, A049354, A049355, etc.

%Y See A065963 for another version.

%K nonn,nice,base

%O 2,1

%A _Harvey P. Dale_

%E a(5) from Joe K. Crump (joecr(AT)carolina.rr.com), Aug 29 2000, who reports that the next term is greater than 22185312344622607538702383625075608111920737991870030337.

%E a(6) > 5^434 and would be too large to include. This result comes from combining Joe K. Crump's algorithm with the observation that digitally balanced numbers in base 5 are all even and digitally balanced numbers in base 3 are even iff they are of even length. - _Martin Fuller_, Nov 27 2006

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Last modified April 25 16:42 EDT 2024. Contains 371989 sequences. (Running on oeis4.)