A214367 Denominators of continued fraction convergents to ( sqrt(4*sqrt(3)-3) - 1 )/4.

1, 4, 53, 57, 110, 167, 277, 444, 721, 119409, 120130, 239539, 1557364, 1796903, 3354267, 15213971, 109852064, 2871367635, 2981219699, 14796246431, 17777466130, 50351178691, 68128644821, 186608468333, 254737113154, 696082694641, 950819807795, 2597722310231, 13939431358950

Offset: 1

Author

Jean-Claude Babois, Feb 20 2013

Keywords

• nonn
• easy
• frac

Comments

This constant arises as the edge-length of one of the pieces in the classical 4-piece dissection of a square to an equilateral triangle (see references in A110312).

Crossrefs

Cf. A224224, A110312.

Programs

Mathematica

Denominator[Convergents[(Sqrt[4 Sqrt[3] - 3] - 1)/4, 50]]

Extensions

Edited by N. J. A. Sloane, Apr 08 2013 at the request of Jean-Claude Babois

Mathematica code corrected to agree with terms by Ray Chandler, Mar 13 2017