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A262206 Product of prime(n) consecutive numbers starting from n. 2
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
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).
Sequence in context: A053995 A184595 A369678 * A240993 A007079 A083697
KEYWORD
nonn,easy
AUTHOR
Altug Alkan, Sep 15 2015
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)