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

Author

Matthew Vandermast, Dec 05 2010

Keywords

• nonn

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

• 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).