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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A181335 Partial products of A036691. 0
1, 4, 96, 18432, 31850496, 550376570880, 114126085737676800, 331312591939905257472000, 14427205603578338379772723200000, 10051861189298894268003697526046720000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Product of the first n compositorial numbers (which are themselves the product of the first n composite numbers). This is to compositorial numbers (A036691), as superfactorials (A000178) are to factorials (A000142).

LINKS

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

FORMULA

a(n) = PRODUCT[i=0..n] A036691(i) = PRODUCT[i=0..n] PRODUCT[j=1..i] A002808(j).

EXAMPLE

a(3) = 1 * 4 * 24 * 192 = (1) * (1*4) * (1*4*6) * (1*4*6*8), since the first 4 composite numbers are (4, 6, 8) and the 0th compositorial is 1.

MATHEMATICA

nn=20; cnos=Complement[Range[nn], Prime[Range[PrimePi[nn]]]]; Rest[ FoldList[ Times, 1, Rest[FoldList[Times, 1, cnos]]]] (* Harvey P. Dale, Jun 28 2011 *)

CROSSREFS

Cf. A000142, A000178, A002808, A036691.

Sequence in context: A308146 A203517 A146514 * A098695 A307934 A059201

Adjacent sequences:  A181332 A181333 A181334 * A181336 A181337 A181338

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Jan 28 2011

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 October 14 06:55 EDT 2019. Contains 327995 sequences. (Running on oeis4.)