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A184388 a(n) = product of numbers from 1 to sigma(n), where sigma(n) = A000203(n). 8
1, 6, 24, 5040, 720, 479001600, 40320, 1307674368000, 6227020800, 6402373705728000, 479001600, 304888344611713860501504000000, 87178291200, 620448401733239439360000, 620448401733239439360000, 8222838654177922817725562880000000, 6402373705728000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

a(n) = sigma(n)! = Product_(i = 1,…,sigma(n)) i = A000142(A000203(n)) = (A000203(n))!.

EXAMPLE

For n = 4; sigma(4) = 7; a(n) = 1*2*3*4*5*6*7 = 5040.

MATHEMATICA

DivisorSigma[1, Range[20]]! (* Harvey P. Dale, Apr 09 2019 *)

PROG

(PARI) a(n)=sigma(n)! \\ Charles R Greathouse IV, Feb 13 2013

CROSSREFS

Cf. A184387, A184389, A184390, A184391, A130674.

Sequence in context: A234635 A036284 A139235 * A136606 A074096 A126016

Adjacent sequences:  A184385 A184386 A184387 * A184389 A184390 A184391

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jan 12 2011

EXTENSIONS

Corrected and extended by Harvey P. Dale, Apr 09 2019

STATUS

approved

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Last modified September 28 02:03 EDT 2020. Contains 337392 sequences. (Running on oeis4.)