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A262206
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Product of prime(n) consecutive numbers starting from n.
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2
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2, 24, 2520, 604800, 54486432000, 53353114214400, 35905578804006912000, 80018147048929689600000, 203939450748460387344384000000, 1441310123089178548721360295690240000000, 9218619547278385997621820451234775040000000
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OFFSET
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1,1
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COMMENTS
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a(n) is always divisible by A039716(n).
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LINKS
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FORMULA
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a(n) = (prime(n) + n - 1)! / (n-1)!.
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EXAMPLE
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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.
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MAPLE
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MATHEMATICA
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PROG
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(PARI) a(n) = (prime(n)+n-1)! / (n-1)!;
vector(15, n, a(n))
(Magma) [Factorial(NthPrime(n)+n-1)/Factorial(n-1): n in [1..15]]; // Vincenzo Librandi, Sep 16 2015
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CROSSREFS
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Cf. A075069: product of prime(n) consecutive numbers starting from prime(n).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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