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A036691 Compositorial numbers: product of first n composite numbers. 18
1, 4, 24, 192, 1728, 17280, 207360, 2903040, 43545600, 696729600, 12541132800, 250822656000, 5267275776000, 115880067072000, 2781121609728000, 69528040243200000, 1807729046323200000, 48808684250726400000, 1366643159020339200000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(A196415(n)) = A141092(n) * A053767(A196415(n)). [Reinhard Zumkeller, Oct 03 2011]

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

EXAMPLE

a(3)=c(1)*c(2)*c(3)=4*6*8=192.

MAPLE

A036691 := proc(n)

        mul(A002808(i), i=1..n) ;

end proc: # R. J. Mathar, Oct 03 2011

MATHEMATICA

Composite[n_] := FixedPoint[n + PrimePi[ # ] + 1 &, n + PrimePi[n] + 1]; Table[ Product[ Composite[i], {i, 1, n}], {n, 0, 18}] (* From Robert G. Wilson v, Sep 13 2003 *)

nn=50; cnos=Complement[Range[nn], Prime[Range[PrimePi[nn]]]]; Rest[FoldList[ Times, 1, cnos]] (* From Harvey P. Dale, May 19 2011 *)

A036691 = Union[Table[n!/(Times@@Prime[Range[PrimePi[n]]]), {n, 29}]] (* From Alonso del Arte, Sep 21 2011 *)

PROG

(Haskell)

a036691_list = scanl1 (*) a002808_list -- Reinhard Zumkeller, Oct 03 2011

CROSSREFS

Cf. primorial numbers A002110. Distinct members of A049614. See also A049650, A060880.

Sequence in context: A088815 A193854 A199540 * A002866 A182798 A073840

Adjacent sequences:  A036688 A036689 A036690 * A036692 A036693 A036694

KEYWORD

nice,nonn,easy

AUTHOR

Felice Russo (frusso(AT)micron.com)

EXTENSIONS

Corrected and extended by Niklas Eriksen (f95-ner(AT)nada.kth.se) and N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 11:46 EST 2012. Contains 206011 sequences.