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!)
A309946 a(n) = floor(Pi^n/Zeta(n)). 0
0, 6, 25, 90, 295, 945, 2995, 9450, 29749, 93555, 294058, 924041, 2903320, 9121612, 28657269, 90030844, 282842403, 888579011, 2791558622, 8769948429, 27551618702, 86555983552, 271923674474, 854273468992, 2683779334331, 8431341566236, 26487840921750, 83214006759229, 261424512797515 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(2*n) = A100594(n).
EXAMPLE
Pi^12/Zeta(12) = 638512875/691 = 924041.78... So a(12) = 924041.
MATHEMATICA
Table[Floor[Pi^n/Zeta[n]], {n, 20}] (* Alonso del Arte, Aug 24 2019 *)
PROG
(PARI) {a(n) = if(n==1, 0, n==4, 90, floor(Pi^n/zeta(n)))}
CROSSREFS
Decimal expansion of Pi^k/Zeta(k): A308637 (k = 3), A309926 (k = 5), A309927 (k = 7), A309928 (k = 9), A309929 (k = 11).
Cf. A001672 (floor(Pi^n)), A002432, A046988, A100594.
Sequence in context: A143628 A056279 A055337 * A001871 A000392 A365531
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 24 2019
STATUS
approved

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 March 19 06:05 EDT 2024. Contains 370952 sequences. (Running on oeis4.)