A176977 Decimal expansion of (3+sqrt(37))/7.

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

Offset

1,2

Comments

Continued fraction expansion of (3+sqrt(37))/7 is A130784.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 7*x^2 - 6*x - 4. - Amiram Eldar, May 03 2026

Example

1.29753750432831709842852632074315243744071001354091...

Mathematica

RealDigits[(3+Sqrt[37])/7, 10, 103][[1]] (* Stefano Spezia, May 26 2025 *)

Crossrefs

Cf. A010491 (decimal expansion of sqrt(37)), A130784 (repeat 1, 3, 2).

Sequence in context: A244596 A309928 A384307 * A202473 A180310 A268086

Adjacent sequences: A176974 A176975 A176976 * A176978 A176979 A176980

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 30 2010

Status

approved