A276208 Position of n! in the joint ranking of {2^h} and {k!}, where h >= 0, k >= 0.

1, 2, 4, 7, 10, 14, 18, 22, 26, 30, 35, 39, 44, 49, 54, 59, 64, 69, 74, 80, 85, 90, 96, 102, 107, 113, 119, 124, 130, 136, 142, 148, 154, 160, 166, 173, 179, 185, 191, 198, 204, 210, 217, 223, 230, 236, 243, 249, 256, 263, 269, 276, 283, 290, 296, 303, 310

Offset

1,2

Comments

In the joint ranking, duplicates are removed.

Links

Clark Kimberling, Table of n, a(n) for n = 1..999

Example

The joint ranking is (1,2,4,6,8,16,24,32,64,120,128,...), in which the positions of n! are 1,2,4,7,...

Mathematica

t = Join[{1}, -1 + Table[n + Floor[Log[2, n!]], {n, 2, 150}]]

Crossrefs

Cf. A000079, A000142.

Sequence in context: A336411 A107427 A130251 * A225635 A256967 A225249

Adjacent sequences: A276205 A276206 A276207 * A276209 A276210 A276211

Keyword

nonn,easy

Author

Clark Kimberling, Aug 31 2016

Status

approved