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A140225 a(n) = number of m's among (d(1),d(2),...,d(n)), where m is the maximum value of (d(1),d(2),...,d(n)), and d(n) is the number of divisors of n. +0
3
1, 1, 2, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2 (list; graph; listen)
OFFSET

1,3

EXAMPLE

The sequence of the numbers of divisors of the first 11 positive integers is: 1,2,2,3,2,4,2,4,3,4,2.

The maximum value obtained here is 4. There are three 4's among (d(1),d(2),...,d(11)); so a(11)=3.

MATHEMATICA

a = {}; b = {}; For[n = 1, n < 80, n++, AppendTo[b, Length[Divisors[n]]]; AppendTo[a, Length[Select[b, # == Max[b] &]]]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 18 2008

CROSSREFS

Cf. A000005, A140223, A140224.

Adjacent sequences: A140222 A140223 A140224 this_sequence A140226 A140227 A140228

Sequence in context: A025876 A109035 A064823 this_sequence A104758 A143227 A026791

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), May 12 2008

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 18 2008

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.


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