The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A119964 Numerator of the n-th Artin product. 0
 1, 5, 19, 779, 84911, 2632241, 713337311, 1163866139, 587752400195, 476667196558145, 2856927907113011, 345688276760674331, 13819099649042566549, 4988694973304366524189, 10780569837310736058772429 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Artin's constant (A005596) is equal to Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,Infinity}]. n-th Artin product is Product[1-1/(Prime[k]*(Prime[k]-1)),{k,1,n}]. LINKS Eric Weisstein's World of Mathematics, Artin's Constant. FORMULA a(n) = Numerator[ Product[ 1 - 1/(Prime[k]*(Prime[k]-1)), {k,1,n}]]. MATHEMATICA Table[Numerator[Product[1-1/(Prime[k]*(Prime[k]-1)), {k, 1, n}]], {n, 1, 20}] CROSSREFS Cf. A119534, A091568, A091567, A005596, A048296. Sequence in context: A092663 A072526 A095218 * A270477 A279256 A174490 Adjacent sequences:  A119961 A119962 A119963 * A119965 A119966 A119967 KEYWORD frac,nonn AUTHOR Alexander Adamchuk, Aug 03 2006 STATUS approved

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

Last modified September 22 17:16 EDT 2020. Contains 337291 sequences. (Running on oeis4.)