

A229336


Product of sums of elements of nonempty subsets of divisors of n.


3



1, 6, 12, 5040, 30, 77598259200, 56, 1307674368000, 168480, 12703122432000, 132, 52875224823823084892891318660312910903645116196873830400000000000000, 182, 440505199411200, 493242753024000, 8222838654177922817725562880000000, 306
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OFFSET

1,2


COMMENTS

Number of nonempty subsets of divisors of n = A100587(n).


LINKS

Table of n, a(n) for n=1..17.


FORMULA

a(2^n) = (2^(n+1)  1)!.


EXAMPLE

For n = 2^2 = 4; divisors of 4: {1, 2, 4}; nonempty subsets of divisors of n: {1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {1, 2, 4}; product of sums of elements of subsets = 1*2*4*3*5*6*7 = 5040 = (2^3  1)! = 7!.


CROSSREFS

Cf. A229335 (sum of sums of elements of nonempty subsets of divisors of n),
A229337 (sum of products of elements of nonempty subsets of divisors of n),
A229338 (product of products of elements of nonempty subsets of divisors of n).
Sequence in context: A159282 A202383 A216423 * A070396 A130012 A265740
Adjacent sequences: A229333 A229334 A229335 * A229337 A229338 A229339


KEYWORD

nonn


AUTHOR

Jaroslav Krizek, Sep 20 2013


STATUS

approved



