A033260 Continued fraction for Laplace's limit constant.

0, 1, 1, 1, 27, 1, 1, 1, 8, 2, 154, 2, 4, 1, 5, 1, 1, 2, 1601, 2, 63, 1, 2, 12, 17, 9, 2, 1, 1, 57, 1, 6, 2, 4, 3, 10, 1, 6, 2, 1, 3, 4, 2, 1, 31, 3, 6, 1, 1, 4, 2, 1, 1, 1, 1, 1, 1, 14, 1, 4, 1, 2, 2, 1, 97, 1, 52, 2, 4, 1, 1, 5, 13, 1, 1, 3, 6, 2, 3, 3, 2, 2, 1, 1, 2, 28, 2, 3, 1, 4, 2, 1, 4

Offset

0,5

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 266-268.

Links

G. C. Greubel, Table of n, a(n) for n = 0..20000

S. R. Finch, Laplace Limit Constant

Eric Weisstein's World of Mathematics, Laplace Limit

Mathematica

ContinuedFraction[Sqrt[x^2-1]/.FindRoot[x==Coth[x], {x, 1}, WorkingPrecision -> 250], 121] (* G. C. Greubel, Dec 13 2024 *)

Crossrefs

Cf. A033259 (decimal expansion), A033261, A033262, A033263.

Sequence in context: A040735 A040734 A040736 * A040737 A040733 A040732

Adjacent sequences: A033257 A033258 A033259 * A033261 A033262 A033263

Keyword

nonn,cofr

Author

Eric W. Weisstein

Extensions

Offset changed by Andrew Howroyd, Jul 04 2024

Status

approved