Voozh

A262206

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

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

(list; graph; refs; listen; history; text; internal format)

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

URL: https://oeis.org/A262206

⇱ A262206 - OEIS