A177036 Decimal expansion of (4+sqrt(37))/7.

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

Offset

1,2

Comments

Continued fraction expansion of (4+sqrt(37))/7 is A010882.

Links

Table of n, a(n) for n=1..105.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 7*x^2 - 8*x - 3. - Amiram Eldar, Mar 24 2026

Example

1.44039464718545995557138346360029529458356715639805...

Mathematica

RealDigits[(4 + Sqrt[37])/7, 10, 120][[1]] (* Amiram Eldar, Mar 24 2026 *)

Prog

(PARI) (4+sqrt(37))/7 \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A010491 (decimal expansion of sqrt(37)), A010882 (repeat 1, 2, 3).

Sequence in context: A106508 A392472 A396213 * A158100 A104287 A174611

Adjacent sequences: A177033 A177034 A177035 * A177037 A177038 A177039

Keyword

cons,nonn

Author

Klaus Brockhaus, May 01 2010

Status

approved