A181799 List of positive integers, ordered by asymptotic frequency of appearance in A003557; ties broken by listing smaller numbers first.

1, 2, 3, 4, 8, 5, 9, 16, 7, 6, 32, 27, 11, 12, 25, 10, 13, 64, 18, 24, 17, 81, 14, 15, 20, 19, 128, 49, 36, 23, 48, 54, 21, 28, 40, 125, 256, 22, 72, 29, 50, 243, 31, 45, 26, 96, 108, 56, 37, 80, 121, 512, 33, 44, 35, 41, 144, 100, 34, 43, 162, 63, 30, 39, 52, 47, 38, 192, 98, 169

Offset

1,2

Comments

A permutation of the natural numbers.

The natural density of positive integers m such that A003557(m) = a(n) equals 6/(A181798(n)*Pi^2). If m is coprime to 6, 3m and 4m appear in A003557 equally often.

Links

Table of n, a(n) for n=1..70.

Wikipedia, Natural density

Formula

The natural density of positive integers m such that A003557(m) = n equals 6/(A181797(n)*Pi^2). A181797(n) = n*A048250(n).

Crossrefs

Sequence in context: A358354 A182513 A320504 * A137623 A358875 A191541

Adjacent sequences: A181796 A181797 A181798 * A181800 A181801 A181802

Keyword

nonn

Author

Matthew Vandermast, Dec 05 2010

Status

approved