A262206 Product of prime(n) consecutive numbers starting from n.
2, 24, 2520, 604800, 54486432000, 53353114214400, 35905578804006912000, 80018147048929689600000, 203939450748460387344384000000, 1441310123089178548721360295690240000000, 9218619547278385997621820451234775040000000
Offset: 1
Examples
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.
Crossrefs
Programs
-
Magma
[Factorial(NthPrime(n)+n-1)/Factorial(n-1): n in [1..15]]; // Vincenzo Librandi, Sep 16 2015
-
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 *) -
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
Formula
a(n) = (prime(n) + n - 1)! / (n-1)!.
Comments