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A090426
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a(1) = 1, otherwise a(n) = floor(Pi^(n+1)/(Pi^2 + 1)).
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6
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0, 1, 2, 8, 28, 88, 277, 872, 2742, 8615, 27066, 85032, 267137, 839236, 2636539, 8282934, 26021606, 81749286, 256822957, 806833116, 2534740992, 7963123679, 25016890850, 78592880512, 246906816042, 775680639401, 2436872598274, 7655661052474, 24050968520828
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OFFSET
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0,3
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COMMENTS
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a(n+1)/a(n) converges to Pi.
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LINKS
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FORMULA
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Let b(0)=0; b(1)=1; b(n+2)=(Pi-1/Pi)*b(n+1)+b(n). a(n)=floor(b(n)).
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MATHEMATICA
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Join[{0, 1}, Table[Floor[Pi^(n + 1)/(Pi^2 + 1)], {n, 2, 28}]] (* Arkadiusz Wesolowski, Apr 20 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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