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.

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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset

1,3

Links

Table of n, a(n) for n=1..105.

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, May 18 2008 *)

Crossrefs

Cf. A000005, A140223, A140224.

Sequence in context: A244231 A237706 A064823 * A104758 A143227 A329746

Adjacent sequences: A140222 A140223 A140224 * A140226 A140227 A140228

Keyword

nonn

Author

Leroy Quet, May 12 2008

Extensions

More terms from Stefan Steinerberger, May 18 2008

a(78)-a(105) from Ray Chandler, Jun 26 2009

Status

approved