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A049364 Smallest number that is digitally balanced in all bases 2, 3, ... n. +0
5
2, 572, 8410815, 59609420837337474 (list; graph; listen)
OFFSET

2,1

LINKS

Joe K. Crump, Joe's Number Theory Web.

CROSSREFS

Cf. A031443, A049354, A049355, etc.

See A065963 for another version.

Sequence in context: A120840 A058429 A117509 this_sequence A159529 A163277 A003830

Adjacent sequences: A049361 A049362 A049363 this_sequence A049365 A049366 A049367

KEYWORD

nonn,nice,base

AUTHOR

Harvey P. Dale (hpd(AT)apscompany.com)

EXTENSIONS

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

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 (martin_n_fuller(AT)btinternet.com), Nov 27 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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