login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A112778 Number of prime factors (counted with multiplicity) of highly composite numbers (definition 1, A002182). 6
0, 1, 2, 2, 3, 4, 4, 5, 4, 5, 5, 6, 6, 7, 6, 6, 7, 7, 8, 8, 9, 9, 10, 9, 8, 10, 10, 9, 9, 10, 10, 11, 10, 11, 11, 11, 12, 10, 10, 11, 11, 12, 11, 12, 12, 12, 13, 12, 13, 14, 13, 13, 12, 14, 12, 13, 13, 13, 14, 13, 14, 15, 14, 14, 13, 15, 15, 14, 14, 16, 14, 15, 14, 15, 16, 15, 15, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Joerg Arndt, Table of n, a(n) for n = 1..19999

Eric Weisstein's World of Mathematics, Highly Composite Number

FORMULA

a(n) = A001222(A002182(n)).

EXAMPLE

A002182(8) = 48 = 2^4*3, which has 5 prime factors, counted with multiplicity, so a(8)=5.

CROSSREFS

Cf. A002182, A002183, A108602, A112779, A112780, A112781.

Sequence in context: A141525 A209764 A071475 * A080594 A207291 A194175

Adjacent sequences:  A112775 A112776 A112777 * A112779 A112780 A112781

KEYWORD

nonn

AUTHOR

Ray Chandler, Nov 11 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)