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

1,1

Links

Table of n, a(n) for n=1..11.

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Terms of A039716 divided by sequence of natural numbers A000027

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

Sequence in context: A355235 A349560 A176366 * A262189 A077336 A242174

Adjacent sequences: A157129 A157130 A157131 * A157133 A157134 A157135

Keyword

easy,nonn

Author

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

Status

approved