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a(n) is also the number of the circle curvature (rounded down) inscribing of the circle inscribed in the n-th 3:4:5 triangle arranged as in a spiral form. See as shown in the illustration in the links section. - Kival Ngaokrajang, Aug 21 2013
Kival Ngaokrajang, <a href="/A065565/a065565.jpg">Illustration of some initial terms</a>.
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Cf. A064628 . - Tomohiro Yamada, Apr 23 2017
Floora(n) = floor((5/4)^n).
Arturas Dubickas, Aivaras Novikas, <a href="https://doi.org/10.1007/s00209-005-0827-4">Integer parts of powers of rational numbers</a>, Math. Z. 251 (2005), 635--648, available from <a href="http://www.mif.vu.lt/~dubickas/files/dvifai/suaivaru.pdf">the first author's page</a>.
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