A195675 Round(Pi^(n+1)/(Pi^2 + 1)).

0, 1, 3, 9, 28, 88, 278, 873, 2742, 8616, 27067, 85032, 267137, 839237, 2636540, 8282934, 26021606, 81749286, 256822958, 806833117, 2534740992, 7963123679, 25016890851, 78592880513, 246906816043, 775680639401, 2436872598275, 7655661052475, 24050968520829

Offset

0,3

Comments

a(n+1)/a(n) converges to Pi.

Links

Table of n, a(n) for n=0..28.

Formula

a(n) = round(Pi^(n+1)/(Pi^2 + 1)).

Example

a(4) = 28 because (Pi^5)/(Pi^2 + 1) = 28.1537095089....

Mathematica

Table[Round[Pi^(n + 1)/(Pi^2 + 1)], {n, 0, 28}]

Prog

(PARI) for(n=0, 28, print1(round(Pi^(n+1)/(Pi^2+1)), ", "))

Crossrefs

Another version of A090426.

Cf. A000796, A170953.

Sequence in context: A095716 A124820 A022020 * A170953 A358092 A333504

Adjacent sequences: A195672 A195673 A195674 * A195676 A195677 A195678

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 22 2012

Status

approved