A177946 -id:A177946 - cp's OEIS frontend

A039716 a(n) = prime(n)!.

2, 6, 120, 5040, 39916800, 6227020800, 355687428096000, 121645100408832000, 25852016738884976640000, 8841761993739701954543616000000, 8222838654177922817725562880000000, 13763753091226345046315979581580902400000000, 33452526613163807108170062053440751665152000000000

Offset: 1

Labos Elemer

Subsequence of A000142.

Vincenzo Librandi, Table of n, a(n) for n = 1..88

Cf. A000040, A000142, A100124, A177946.

[Factorial(NthPrime(n)): n in [1..20]]; // Vincenzo Librandi, Apr 21 2014

A039716 := proc(n)
    ithprime(n)! ;
end proc:
seq(A039716(n),n=1..10) ; # R. J. Mathar, Aug 01 2014

Table[Prime[n]!,{n,1,8}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2008 *)

a(n)=prime(n)! \\ Charles R Greathouse IV, Feb 07 2012

BB = primes_first_n(14)
L = []
for i in range(13):
    L.append(factorial(BB[i]))
L # Zerinvary Lajos, May 14 2007

a(n) = A000142(A000040(n)).
a(n) = A177946(n)*A000142(n). - Reinhard Zumkeller, May 15 2010
Sum_{n>=1} 1/a(n) = A100124. - Amiram Eldar, Nov 13 2020

A178614 a(n) = prime(n)!/(n+1)!.

Original entry on oeis.org

1, 1, 5, 42, 55440, 1235520, 8821612800, 335221286400, 7124122778572800, 221504779785446277120000, 17166620433372086476800000, 2210327142511928825790332928000000

Offset: 1

Juri-Stepan Gerasimov, Jun 05 2010

nonn

G. C. Greubel, Table of n, a(n) for n = 1..75

[Factorial(NthPrime(n))/Factorial(n+1): n in [1..15]]; // G. C. Greubel, Jan 29 2019

Table[(Prime[n])!/(n+1)!, {n, 1, 15}] (* G. C. Greubel, Jan 29 2019 *)

vector(15, n, (prime(n))!/(n+1)!) \\ G. C. Greubel, Jan 29 2019

[factorial(nth_prime(n))/factorial(n+1) for n in (1..15)] # G. C. Greubel, Jan 29 2019

a(n) = A039716(n)/A000142(n+2) = A177946(n)/(n+1).

a(7) and a(9) corrected by R. J. Mathar, Jun 07 2010

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

Original entry on oeis.org

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

Offset: 1

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

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

Terms of A039716 divided by sequence of natural numbers A000027

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

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

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

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

cp's OEIS Frontend

A039716 a(n) = prime(n)!.

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A178614 a(n) = prime(n)!/(n+1)!.

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Magma

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

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Crossrefs

Programs

Mathematica

PARI

Formula