A261523 a(n) = prime(n+1)! / (prime(n+1) - prime(n))!.

6, 60, 2520, 1663200, 3113510400, 14820309504000, 60822550204416000, 1077167364120207360000, 12280224991305141603532800000, 4111419327088961408862781440000000, 19116323737814368119883304974417920000000, 1393855275548491962840419252226697986048000000000, 30207631531686917818677566034256998753632256000000000

Offset: 1

Author

Altug Alkan, Aug 23 2015

Keywords

• nonn
• easy

Comments

The author comments that this sequence is related to the product A058077(n) * A039716(n). - Charles R Greathouse IV, Aug 29 2015

Crossrefs

Cf. A058077, A039716.

Programs

Magma

[Factorial(NthPrime(n+1)) / Factorial((NthPrime(n+1) - NthPrime(n))): n in [1..15]]; // Vincenzo Librandi, Aug 23 2015

Maple

A261523:=n->ithprime(n+1)!/(ithprime(n+1)-ithprime(n))!: seq(A261523(n), n=1..15); # Wesley Ivan Hurt, Aug 23 2015

Mathematica

Table[Prime[i + 1]!/(Prime[i + 1] - Prime[i])!, {i, 15}] (* Vincenzo Librandi, Aug 23 2015 *)

PARI

vector( 15,  n,  prime(n+1)! / (prime(n+1) - prime(n))! )

PARI

vector( 15,  n,  binomial(prime(n+1), prime(n)) * prime(n)! )

Formula

a(n) = prime(n+1)! / (prime(n+1) - prime(n))! = A058077(n) * A039716(n).