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

1,1

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