A373919 Decimal expansion of 2*c*sinh(1/(2*c)), where c is the constant A373918.

1, 2, 5, 7, 7, 3, 6, 4, 5, 6, 1, 6, 8, 0, 9, 4, 0, 5, 7, 2, 5, 9, 6, 1, 1, 9, 1, 4, 4, 9, 5, 1, 4, 7, 3, 9, 0, 7, 2, 3, 0, 3, 0, 0, 1, 1, 5, 0, 8, 7, 2, 3, 1, 8, 1, 5, 3, 7, 6, 7, 4, 1, 8, 4, 6, 9, 7, 9, 3, 0, 0, 4, 8, 0, 7, 7, 5, 8, 0, 0, 6, 6, 3, 1, 8, 1, 3, 2, 4, 0, 2, 4, 6

Offset

1,2

Comments

This constant is the length of the sag curve connecting two support points at equal elevation and distance 1 by a heavy chain or rope requiring minimum tension.

Links

Table of n, a(n) for n=1..93.

Example

1.25773645616809405725961191449514739072303...

Mathematica

RealDigits[With[{c = x /. FindRoot[Tanh[1/(2*x)] == 2*x, {x, 1/2}, WorkingPrecision -> 120]}, 2*c*Sinh[1/(2*c)]]][[1]] (* Amiram Eldar, Apr 12 2026 *)

Crossrefs

Cf. A240358, A373918.

Sequence in context: A325437 A141430 A021392 * A131688 A226213 A199590

Adjacent sequences: A373916 A373917 A373918 * A373920 A373921 A373922

Keyword

nonn,cons

Author

Hugo Pfoertner, Jun 27 2024

Status

approved