A157132 Factorial of primes divided by prime numbers' respective places in the sequence of primes.

2, 3, 40, 1260, 7983360, 1037836800, 50812489728000, 15205637551104000, 2872446304320552960000, 884176199373970195454361600000, 747530786743447528884142080000000

Offset: 1

Author

Jeremy Cahill (jcahill(AT)inbox.com), Feb 23 2009

Keywords

• easy
• nonn

Examples

			E.g. leading term = 2!/1 = 2, second term = 3!/2 = 3, third term = 5!/3 = 40, etc.
		

Crossrefs

Terms of A039716 divided by sequence of natural numbers A000027

Cf. A177946. [From Reinhard Zumkeller, May 15 2010]

Programs

Mathematica

Table[Prime[n]!/n,{n,20}] (* Harvey P. Dale, May 24 2017 *)

PARI

a(n) = prime(n)!/n; \\ Michel Marcus, Aug 19 2013

Formula

a(n) = prime(n)!/n.