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 A053431 Numbers k such that (Pi/2)*k^2*sin(1/k) < floor(Pi*k/2). 0
 78256779, 340262731, 1963319607, 13402974518, 26805949036, 40208923554, 5703436923116, 136308121570117, 272616243140234, 1684937174853026414, 3369874349706052828, 5054811524559079242, 75474011359728834791267, 909474452321624805685313, 1818948904643249611370626 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The solution uses sequence A001203, the continued fraction expansion of Pi. - T. D. Noe, Mar 13 2014 LINKS Table of n, a(n) for n=1..15. Michael A. Filaseta, Allen Stenger, D. Callan and Z. Franco, Solution to Problem 10640: When a Multiple of Pi/2 is Close to an Integer, Amer. Math. Monthly, 107 (2000), 177-178. CROSSREFS Cf. A001203. Sequence in context: A109178 A178556 A251174 * A179578 A186598 A306407 Adjacent sequences: A053428 A053429 A053430 * A053432 A053433 A053434 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 21 2000 EXTENSIONS More terms from Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), May 25 2000 Better name from T. D. Noe, Mar 13 2014 More terms from Sean A. Irvine, Dec 23 2021 STATUS approved

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Last modified May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)