A262206 Product of prime(n) consecutive numbers starting from n.

2, 24, 2520, 604800, 54486432000, 53353114214400, 35905578804006912000, 80018147048929689600000, 203939450748460387344384000000, 1441310123089178548721360295690240000000, 9218619547278385997621820451234775040000000

Offset

1,1

Comments

a(n) is always divisible by A039716(n).

Links

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

Formula

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

Example

For n=1, a(1) = 1*2 = 2.
For n=2, a(2) = 2*3*4 = 24.
For n=3, a(3) = 3*4*5*6*7 = 2520.
For n=4, a(4) = 4*5*6*7*8*9*10 = 604800.

Maple

A262206:=n->(ithprime(n)+n-1)! / (n-1)!: seq(A262206(n), n=1..15); # Wesley Ivan Hurt, Sep 15 2015

Mathematica

Table[(Prime[n] + n - 1)!/(n - 1)!, {n, 15}] (* Michael De Vlieger, Sep 15 2015 *)

Prog

(PARI) a(n) = (prime(n)+n-1)! / (n-1)!;
vector(15, n, a(n))
(PARI) a(n)=factorback([n..n+prime(n)-1]) \\ Charles R Greathouse IV, Sep 21 2015
(Magma) [Factorial(NthPrime(n)+n-1)/Factorial(n-1): n in [1..15]]; // Vincenzo Librandi, Sep 16 2015

Crossrefs

Cf. A075069: product of prime(n) consecutive numbers starting from prime(n).

Cf. A014688, A039716, A075068, A262204.

Sequence in context: A053995 A184595 A369678 * A240993 A007079 A083697

Adjacent sequences: A262203 A262204 A262205 * A262207 A262208 A262209

Keyword

nonn,easy

Author

Altug Alkan, Sep 15 2015

Status

approved