A388201 Decimal expansion of (1/398) * (235 + 17 * sqrt(293)).

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

Offset

1,2

Comments

The continued fraction is 1, 3, 9, 7, 1, 3, 9, 7,... (see A001148).

Links

Table of n, a(n) for n=1..100.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 199*x^2 - 235*x - 37. - Amiram Eldar, Jun 07 2026

Example

1.32159077152412745219497534925954337661461228927326994...

Mathematica

First[RealDigits[1/398 (235 + 17 Sqrt[293]), 10, 100]]

Prog

(PARI) (1/398) * (235 + 17 * sqrt(293)) \\ Stefano Spezia, Oct 23 2025

Crossrefs

Cf. A001148.

Sequence in context: A077951 A077976 A021912 * A114597 A199479 A050165

Adjacent sequences: A388198 A388199 A388200 * A388202 A388203 A388204

Keyword

nonn,cons,easy

Author

Jason Bard, Oct 23 2025

Status

approved