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A241203
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a(n) = floor(5^n/4^(n-1)).
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1
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5, 6, 7, 9, 12, 15, 19, 23, 29, 37, 46, 58, 72, 90, 113, 142, 177, 222, 277, 346, 433, 542, 677, 847, 1058, 1323, 1654, 2067, 2584, 3231, 4038, 5048, 6310, 7888, 9860, 12325, 15407, 19259, 24074, 30092, 37615, 47019, 58774, 73468, 91835, 114794, 143492, 179366, 224207, 280259
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OFFSET
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1,1
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COMMENTS
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a(n) is the curvature (rounded down) of circles inscribed in minor segment where chord length equal to sagitta length starting from a unit circle, the next iterations are nested down at scale factor 4/5. The curvature of circles inscribed in major segment would be A065565: floor((5/4)^n). See illustrations.
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LINKS
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FORMULA
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a(n) = floor(5^n/4^(n-1)), n >= 1.
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MATHEMATICA
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PROG
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(PARI) for(n=1, 100, print1(floor(5^n/4^(n-1)), ", "))
(Magma) [Floor(4*(5/4)^n): n in [1..60]]; // G. C. Greubel, Jun 07 2023
(SageMath) [(5^n//4^(n-1)) for n in range(1, 61)] # G. C. Greubel, Jun 07 2023
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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