A053431 Numbers k such that (Pi/2)*k^2*sin(1/k) < floor(Pi*k/2).

78256779, 340262731, 1963319607, 13402974518, 26805949036, 40208923554, 5703436923116, 136308121570117, 272616243140234, 1684937174853026414, 3369874349706052828, 5054811524559079242, 75474011359728834791267, 909474452321624805685313, 1818948904643249611370626

Offset: 1

Author

N. J. A. Sloane, Mar 21 2000

Keywords

• nonn

Comments

The solution uses sequence A001203, the continued fraction expansion of Pi. - T. D. Noe, Mar 13 2014

Links

• 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.

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