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A090426 a(1) = 1, otherwise a(n) = floor(Pi^(n+1)/(Pi^2 + 1)). 6

%I #12 Jan 26 2023 11:27:57

%S 0,1,2,8,28,88,277,872,2742,8615,27066,85032,267137,839236,2636539,

%T 8282934,26021606,81749286,256822957,806833116,2534740992,7963123679,

%U 25016890850,78592880512,246906816042,775680639401,2436872598274,7655661052474,24050968520828

%N a(1) = 1, otherwise a(n) = floor(Pi^(n+1)/(Pi^2 + 1)).

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

%F Let b(0)=0; b(1)=1; b(n+2)=(Pi-1/Pi)*b(n+1)+b(n). a(n)=floor(b(n)).

%t Join[{0, 1}, Table[Floor[Pi^(n + 1)/(Pi^2 + 1)], {n, 2, 28}]] (* _Arkadiusz Wesolowski_, Apr 20 2012 *)

%Y Cf. A090039, A090427, A093607, A093608.

%K nonn

%O 0,3

%A _Gary W. Adamson_, Nov 30 2003

%E Edited by _Don Reble_, Nov 14 2005

%E Name changed by _Arkadiusz Wesolowski_, Apr 20 2012

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)