A184388 a(n) = product of numbers from 1 to sigma(n), where sigma(n) = A000203(n).

1, 6, 24, 5040, 720, 479001600, 40320, 1307674368000, 6227020800, 6402373705728000, 479001600, 304888344611713860501504000000, 87178291200, 620448401733239439360000, 620448401733239439360000, 8222838654177922817725562880000000, 6402373705728000

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