cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A068741 a(n) = (n^n)!.

Original entry on oeis.org

1, 1, 24, 10888869450418352160768000000
Offset: 0

Views

Author

Henry Bottomley, Feb 26 2002

Keywords

Comments

Next term: 857817775342842654119...0 (507 digits). - Vladimir Joseph Stephan Orlovsky, Dec 03 2008

Examples

			a(0) = (0^0)! = 1! = 1;
a(1) = (1^1)! = 1! = 1;
a(2) = (2^2)! = 4! = 24;
a(3) = (3^3)! = 27! = 10888869450418352160768000000.
		

Crossrefs

Programs

Formula

a(n) = A000142(A000312(n)). - Michel Marcus, Jan 12 2015

A068742 Largest power of n! which divides (n^n)!.

Original entry on oeis.org

1, 1, 8, 13060694016, 2079483819621516594237312893208982470178235671604741236585936787960152492743230443701290222268785125031295963705114624
Offset: 0

Views

Author

Henry Bottomley, Feb 26 2002

Keywords

Examples

			a(3)=13060694016 since (3^3)!=27!=10888869450418352160768000000 can be divided by 3!=6 thirteen times and 6^13=13060694016.
		

Crossrefs

Programs

  • PARI
    for(n=2,10,p=1:f=(n^n)!:while(f%p==0,p=p*n!):print1(p/n!","))

Formula

For p prime, a(p)=(p!)^((p^p-1)/(p-1))

Extensions

More terms from Ralf Stephan, Mar 31 2003
Showing 1-2 of 2 results.