A309946 a(n) = floor(Pi^n/Zeta(n)).

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

Offset: 1

Author

Seiichi Manyama, Aug 24 2019

Keywords

• nonn

Examples

			Pi^12/Zeta(12) = 638512875/691 = 924041.78... So a(12) = 924041.
		

Links

• Index entries for zeta function.

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.

Programs

Mathematica

Table[Floor[Pi^n/Zeta[n]], {n, 20}] (* Alonso del Arte, Aug 24 2019 *)

PARI

{a(n) = if(n==1, 0, n==4, 90, floor(Pi^n/zeta(n)))}

Formula

a(2*n) = A100594(n).