A212113 Denominators of convergents to the Dottie number, A003957.

1, 1, 3, 4, 19, 23, 939, 962, 9597, 39350, 88297, 127647, 2003002, 4133651, 51606814, 55740465, 1222156579, 1277897044, 22946406327, 1194491026048, 3606419484471, 4800910510519, 32411882547585

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, A212112.

Programs

Mathematica

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