login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A078094 Numbers k such that Omega(k) = Omega(k+1) + Omega(k+2) + Omega(k+3) + Omega(k+4). (Omega(k) denotes the number of prime factors of k, counting multiplicity). 1
4608, 5440, 6144, 6336, 6480, 7680, 8064, 8640, 8704, 9216, 9984, 10752, 11664, 13440, 14400, 15680, 17280, 19200, 20480, 20736, 21120, 23808, 24192, 26208, 27360, 27840, 28512, 31104, 31360, 32000, 32320, 32400, 32832, 34560, 34992 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1) = 4608 is a term because Omega(4608) = 11 = Omega(4609) + Omega(4610) + Omega(4611) + Omega(4612) = 2 + 3 + 3 + 3 = 11.

PROG

(Magma) f:=func<n|&+[p[2]: p in Factorization(n)]>; [k:k in [2..35000]| f(k) eq f(k+1)+ f(k+2)+f(k+3)+f(k+4)]; // Marius A. Burtea, Feb 19 2020

CROSSREFS

Cf. A001222.

Sequence in context: A020437 A157364 A035900 * A159205 A170795 A035785

Adjacent sequences:  A078091 A078092 A078093 * A078095 A078096 A078097

KEYWORD

nonn

AUTHOR

Shyam Sunder Gupta, Dec 01 2002

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 29 14:10 EDT 2022. Contains 357090 sequences. (Running on oeis4.)