OFFSET
1,1
COMMENTS
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.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
Kival Ngaokrajang, Illustrations of initial terms
FORMULA
a(n) = floor(5^n/4^(n-1)), n >= 1.
MATHEMATICA
Floor[4*(5/4)^Range[60]] (* G. C. Greubel, Jun 07 2023 *)
PROG
(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
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Kival Ngaokrajang, Aug 08 2014
STATUS
approved