A046096 Continued fraction for Calabi's constant.

1, 1, 1, 4, 2, 1, 2, 1, 5, 2, 1, 3, 1, 1, 390, 1, 1, 2, 11, 6, 2, 1, 1, 56, 1, 4, 3, 1, 1, 6, 9, 3, 2, 1, 8, 10, 9, 25, 2, 1, 3, 1, 3, 5, 2, 35, 1, 1, 1, 41, 1, 2, 2, 1, 2, 2, 3, 1, 4, 2, 1, 1, 1, 1, 3, 1, 6, 2, 1, 4, 11, 1, 2, 2, 1, 1, 6, 3, 1, 1, 1, 1, 1, 1, 4, 1, 7, 2, 2, 2, 36, 7, 22, 1, 2, 1

Offset

0,4

Links

Table of n, a(n) for n=0..95.

E. Calabi, Outline of Proof Regarding Squares Wedged in Triangle

Eric Weisstein's World of Mathematics, Calabis Triangle.

Mathematica

ContinuedFraction[ x /. FindRoot[ 2x^3-2x^2-3x+2==0, {x, 1.5}, WorkingPrecision->200 ], 100 ][ [ 1 ] ]

Crossrefs

Cf. A046095 (decimal expansion).

Sequence in context: A327694 A348136 A235795 * A080816 A016507 A270047

Adjacent sequences: A046093 A046094 A046095 * A046097 A046098 A046099

Keyword

nonn,cofr

Author

Eric W. Weisstein

Extensions

Offset changed by Andrew Howroyd, Jul 04 2024

Status

approved