

A131798


a(n) = the maximum value from among (d(n+1),d(n+2),d(n+3),...,d(2n)), where d(m) is the number of positive divisors of m.


0



2, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 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, 12, 12, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..77.


EXAMPLE

For n = 10, we consider the values of (d(11),d(12),d(13),d(14),d(15),d(16),d(17),d(18),d(19),d(20)), which are (2,6,2,4,4,5,2,6,2,6). The greatest of these values is 6, so a(10) = 6.


MATHEMATICA

Table[Max[Table[Length[Divisors[i]], {i, n + 1, 2*n}]], {n, 1, 80}] (* Stefan Steinerberger, Oct 30 2007 *)


CROSSREFS

Sequence in context: A342731 A099777 A221917 * A206925 A339363 A114212
Adjacent sequences: A131795 A131796 A131797 * A131799 A131800 A131801


KEYWORD

nonn


AUTHOR

Leroy Quet, Oct 23 2007


EXTENSIONS

More terms from Stefan Steinerberger, Oct 30 2007


STATUS

approved



