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A214367
Denominators of continued fraction convergents to ( sqrt(4*sqrt(3)-3) - 1 )/4.
1
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
1,2
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).
MATHEMATICA
Denominator[Convergents[(Sqrt[4 Sqrt[3] - 3] - 1)/4, 50]]
CROSSREFS
Sequence in context: A288490 A219160 A111034 * A241872 A109801 A099340
KEYWORD
nonn,easy,frac
AUTHOR
Jean-Claude Babois, Feb 20 2013
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
STATUS
approved