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A070319 Max( tau(k) : k=1,2,3,...,n ) where tau(n)=A000005(n) is the number of divisors of x. +0
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1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 (list; graph; listen)
OFFSET

1,2

FORMULA

It seems that a(n)/Log(n)^2 is bounded ( for n large enough, (1/2)*Log(n)^2 < a(n) < Log(n)^2 ?) - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 11 2002

PROGRAM

(PARI) a(n)=vecmax(vector(n, k, numdiv(k)))

CROSSREFS

Sequence in context: A061071 A122258 A068509 this_sequence A057142 A098388 A094235

Adjacent sequences: A070316 A070317 A070318 this_sequence A070320 A070321 A070322

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), May 11 2002

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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