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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). Cf. A014688, A039716, A075068, A262204. Sequence in context: A296589 A053995 A184595 * A240993 A007079 A083697 Adjacent sequences:  A262203 A262204 A262205 * A262207 A262208 A262209 KEYWORD nonn,easy AUTHOR Altug Alkan, Sep 15 2015 STATUS approved

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Last modified June 17 05:30 EDT 2021. Contains 345080 sequences. (Running on oeis4.)