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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A268668 Number of factorizations of m^4 into n factors, where m is a product of exactly n distinct primes and each factor is a product of 4 primes (counted with multiplicity). 1
1, 1, 3, 23, 465, 19834, 1532489, 193746632, 37368959742, 10437763731100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also number of ways to partition the multiset consisting of 4 copies each of 1, 2, ..., n into n multisets of size 4.

LINKS

Table of n, a(n) for n=0..9.

EXAMPLE

a(2) = 3: (2*3)^4 = 1296 = 36*36 = 54*24 = 81*16.

a(3) = 23: (2*3*5)^4 = 810000 = 100*90*90 = 100*100*81 = 135*100*60 = 150*90*60 = 150*100*54 = 150*135*40 = 150*150*36 = 225*60*60 = 225*90*40 = 225*100*36 = 225*150*24 = 225*225*16 = 250*60*54 = 250*81*40 = 250*90*36 = 250*135*24 = 375*54*40 = 375*60*36 = 375*90*24 = 375*135*16 = 625*36*36 = 625*54*24 = 625*81*16.

CROSSREFS

Column k=4 of A257463.

Sequence in context: A298466 A116986 A271962 * A171777 A154896 A134050

Adjacent sequences:  A268665 A268666 A268667 * A268669 A268670 A268671

KEYWORD

nonn,more

AUTHOR

Alois P. Heinz, Feb 10 2016

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 September 15 22:10 EDT 2019. Contains 327088 sequences. (Running on oeis4.)