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A070826 One half of product of first n primes A000040. +0
25
1, 3, 15, 105, 1155, 15015, 255255, 4849845, 111546435, 3234846615, 100280245065, 3710369067405, 152125131763605, 6541380665835015, 307444891294245705, 16294579238595022365, 961380175077106319535 (list; graph; listen)
OFFSET

1,2

COMMENT

Identical with A002110(n)/2, n>=1.

a(n+1) is the least odd number with exactly n distinct prime divisors. - Labos E. (labos(AT)ana.sote.hu), Mar 24 2003

FORMULA

a(n)=product(p(n), n=1..n) with p(n) := A000040(n).

MAPLE

with (numtheory):a:=n->mul(ithprime(j), j=2..n):seq(a(n), n=1..17); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 24 2008]

MATHEMATICA

Rest[ FoldList[ Times, 1, Prime[ Range[ 18]] ]]/2 (from Robert G. Wilson v Feb 17 2004)

FoldList[Times, 1, Prime[Range[2, 18]]] [From Zak Seidov (zakseidov(AT)yahoo.com), Jan 26 2009]

CROSSREFS

Cf. A003266 (for Fibonacci), A070825 (for Lucas), A003046 (for Catalan).

Cf. also A091852.

Sequence in context: A001147 A000268 A118750 this_sequence A048599 A129731 A088109

Adjacent sequences: A070823 A070824 A070825 this_sequence A070827 A070828 A070829

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), May 10, 2002

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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