login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A301600 a(n) = Primorial(n) / Product_{k prime<n} k. 0

%I #31 May 07 2018 03:52:25

%S 1,2,6,15,35,385,1001,17017,46189,1062347,30808063,955049953,

%T 3212440751,131710070791,435656388001,20475850236047,1085220062510491,

%U 64027983688118969,229747470880897477,15393080549020130959,57521511525285752531,4199070341345859934763,331726556966322934846277

%N a(n) = Primorial(n) / Product_{k prime<n} k.

%C Sum_{n>=0} 1/a(n) = 1.765582555581609270...

%F a(0)=1, for n > 0 a(n) = A002110(n) / A034386(n-1).

%e a(5) = 2*3*5*7*11 / 2*3 = 385.

%o (PARI) a(n) = prod(k=1, n, prime(k))/prod(k=1, n-1, if (isprime(k), k, 1)); \\ _Michel Marcus_, Mar 26 2018

%Y Cf. A002110, A034386.

%K nonn

%O 0,2

%A _Pedro Caceres_, Mar 24 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 02:46 EDT 2024. Contains 371917 sequences. (Running on oeis4.)