A087315 a(n) = Product_{k=1..n} prime(k)^prime(n-k+1).

1, 4, 72, 21600, 190512000, 580909190400000, 428616352408083840000000, 859278392084450410309036800000000000, 2097197194438629126172451944256706311040000000000000

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..23

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

Crossrefs

Cf. A006939, A002110, A025487, A004394, A002093, A002182, A055932, A025487, A089247, A071364, A097320, A046523, A056166, A114129, A053810.

Sequence in context: A152653 A344693 A172478 * A081460 A327040 A327112

Adjacent sequences: A087312 A087313 A087314 * A087316 A087317 A087318

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