A185051 Continued fraction expansion of Hlawka's Schneckenkonstante K = -2.157782...

-3, 1, 5, 2, 1, 24, 9, 2, 2, 1, 1, 6, 8, 11, 2, 44, 1, 5, 3, 424, 1, 5, 39, 2, 1, 1, 2, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 7, 4, 2, 1, 1, 15, 2, 3, 3, 3, 2, 1, 45, 15, 10, 16, 3, 1, 1, 1, 2, 2, 1, 1, 6, 2, 1, 2, 3, 2, 14, 3, 5, 1, 2, 1, 19, 1, 4, 16, 5, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 3, 1, 2, 1, 16, 65, 2, 3, 3, 1, 5, 3, 1, 11, 2, 1, 3, 1, 1, 2, 5, 2, 11, 1, 2, 2, 1, 10, 1, 1, 2

Offset

0,1

References

P. J. Davis, Spirals from Theodorus to Chaos, A K Peters, Wellesley, MA, 1993.

Links

Table of n, a(n) for n=0..124.

David Brink, The spiral of Theodorus and sums of zeta-values at the half-integers, The American Mathematical Monthly, Vol. 119, No. 9 (November 2012), pp. 779-786.

Edmund Hlawka, Gleichverteilung und Quadratwurzelschnecke, Monatsh. Math., 89 (1980) 19-44. [For a summary in English see the Davis reference, pp. 157-167.]

Crossrefs

Cf. A105459 for decimal expansion.

Sequence in context: A102573 A233940 A134033 * A095026 A184997 A094367

Adjacent sequences: A185048 A185049 A185050 * A185052 A185053 A185054

Keyword

sign,cofr

Author

David Brink, Jan 22 2012

Status

approved