A212112 Numerators of convergents to the Dottie number, A003957.

0, 1, 2, 3, 14, 17, 694, 711, 7093, 29083, 65259, 94342, 1480389, 3055120, 38141829, 41196949, 903277758, 944474707, 16959347777, 882830559111, 2665451025110, 3548281584221, 23955140530436

Offset: 0

Author

Ben Branman, May 01 2012

Keywords

• nonn
• frac

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, Dottie Number

Crossrefs

Cf. A003957, A212113.

Programs

Mathematica

z = FindRoot[Cos[x] == x, {x, 0, 1}, WorkingPrecision -> 10000][[1, -1]]; Numerator[Convergents[z, 100]]