The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A093570 a(n) = Product_{k=1..n}(k + prime(k)). 4

%I #13 Jun 04 2023 11:57:56

%S 3,15,120,1320,21120,401280,9630720,260029440,8320942080,324516741120,

%T 13629703127040,667855453224960,36064194474147840,2055659085026426880,

%U 127450863271638466560,8794109565743054192640,668352326996472118640640

%N a(n) = Product_{k=1..n}(k + prime(k)).

%C a(n) < A000142(n) + A002110(n) for n>1;

%C a(n) = Product_{k=1..n}A014688(k).

%H Harvey P. Dale, <a href="/A093570/b093570.txt">Table of n, a(n) for n = 1..342</a>

%t Table[ Product[k + Prime[k], {k, n}], {n, 17}] (* _Robert G. Wilson v_, Apr 07 2004 *)

%t FoldList[Times,Table[m+Prime[m],{m,20}]] (* _Harvey P. Dale_, Jun 04 2023 *)

%Y Cf. A093572, A093571.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 01 2004

%E More terms from _Robert G. Wilson v_, Apr 07 2004

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 May 17 08:10 EDT 2024. Contains 372579 sequences. (Running on oeis4.)