login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A045780 Least value with A045779(n) factorizations into distinct factors. 15
1, 6, 12, 64, 24, 256, 48, 512, 60, 96, 2048, 144, 210, 120, 216, 180, 384, 288, 16384, 240, 432, 420, 65536, 1536, 360, 480, 900, 864, 3072, 1152, 1296, 2310, 524288, 6144, 960, 720, 840, 2304, 1728, 1080, 1260, 2592, 2097152, 1800, 4608, 24576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

From Gus Wiseman, Jan 11 2020: (Start)

The strict factorizations of a(n) for n = 1..9:

  ()  (6)    (12)   (64)     (24)     (256)     (48)     (512)     (60)

      (2*3)  (2*6)  (2*32)   (3*8)    (4*64)    (6*8)    (8*64)    (2*30)

             (3*4)  (4*16)   (4*6)    (8*32)    (2*24)   (16*32)   (3*20)

                    (2*4*8)  (2*12)   (2*128)   (3*16)   (2*256)   (4*15)

                             (2*3*4)  (2*4*32)  (4*12)   (4*128)   (5*12)

                                      (2*8*16)  (2*3*8)  (2*4*64)  (6*10)

                                                (2*4*6)  (2*8*32)  (2*5*6)

                                                         (4*8*16)  (3*4*5)

                                                                   (2*3*10)

(End)

CROSSREFS

All terms belong to A025487.

The non-strict version is A045783.

The sorted version is A330997.

Factorizations are A001055 with image A045782 and complement A330976.

Strict factorizations are A045778 with image A045779 and complement A330975.

The least number with exactly n strict factorizations is A330974(n).

Cf. A033833, A318286, A330972, A330973, A330989.

Sequence in context: A121735 A070970 A330974 * A088726 A163342 A107904

Adjacent sequences:  A045777 A045778 A045779 * A045781 A045782 A045783

KEYWORD

nonn

AUTHOR

David W. Wilson

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 21 19:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)