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A135937 a(1)=1. For n>=2, a(n) = product{d|a(n-1)} (d+1), where the product is over all positive divisors d of a(n-1). +0
2
1, 2, 6, 168, 6623019333730800000 (list; graph; listen)
OFFSET

1,2

COMMENT

The next term is a lot bigger than 70000! and is too large to include. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 31 2007

EXAMPLE

The positive divisors of a(3)=6 are 1,2,3,6. So a(4) = (1+1)*(2+1)*(3+1)*(6+1) = 2*3*4*7 = 168.

MATHEMATICA

a = {1}; Do[AppendTo[a, Times @@ (Divisors[a[[ -1]]] + 1)], {4}]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 31 2007

CROSSREFS

Cf. A135938.

Sequence in context: A088430 A051240 A003189 this_sequence A137532 A072116 A055696

Adjacent sequences: A135934 A135935 A135936 this_sequence A135938 A135939 A135940

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Dec 07 2007

EXTENSIONS

a(5) from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 31 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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