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A087315
a(n) = Product_{k=1..n} prime(k)^prime(n-k+1).
6
1, 4, 72, 21600, 190512000, 580909190400000, 428616352408083840000000, 859278392084450410309036800000000000, 2097197194438629126172451944256706311040000000000000
OFFSET
0,2
LINKS
EXAMPLE
a(3) = 2^5*3^3*5^2 = 21600.
MAPLE
seq(product(ithprime(k)^ithprime(n-k+1), k=1..n), n=0..10);
MATHEMATICA
Table[Product[Prime[k]^Prime[n - k + 1], {k, 1, n}], {n, 0, 10}] (* G. C. Greubel, Oct 14 2018 *)
PROG
(Sage) [prod(nth_prime(i)^nth_prime(k-i+1) for i in (1..k)) for k in (0..10)] # Giuseppe Coppoletta, Nov 03 2014
(PARI) for(n=0, 10, print1(prod(k=1, n, prime(k)^prime(n-k+1)), ", ")) \\ G. C. Greubel, Oct 14 2018
(Magma) [1] cat [(&*[NthPrime(k)^(NthPrime(n-k+1)): k in [1..n]]): n in [1..10]]; // G. C. Greubel, Oct 14 2018
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Sep 03 2003
EXTENSIONS
More terms from Jorge Coveiro, Dec 22 2004
Corrected by David Wasserman, May 02 2005
STATUS
approved