A156571 Decimal expansion of (27 + 10*sqrt(2))/23.

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

Offset

1,2

Comments

Limit_{n -> oo} a(n)/a(n-1) = (3+2*sqrt(2))/((27+10*sqrt(2))/23)^2 for n mod 3 = 0, b = A118337, A156567.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Equals lim_{n -> oo} a(n)/a(n-1) for n mod 3 = {1, 2}, b = A118337, A156567.

Minimal polynomial: 23*x^2 - 54*x + 23. - Amiram Eldar, May 02 2026

Example

1.78878850537960654295725596704769481676942255451171...

Mathematica

RealDigits[(27 + 10*Sqrt[2])/23, 10, 100][[1]] (* G. C. Greubel, Jan 28 2018 *)

Prog

(PARI) (27+10*sqrt(2))/23 \\ G. C. Greubel, Jan 27 2018
(Magma) (27+10*Sqrt(2))/23; // G. C. Greubel, Jan 27 2018

Crossrefs

Cf. A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A156164 (decimal expansion of 17+12*sqrt(2)), A118337, A156567.

Sequence in context: A256781 A248224 A092290 * A356869 A099987 A226320

Adjacent sequences: A156568 A156569 A156570 * A156572 A156573 A156574

Keyword

cons,nonn

Author

Klaus Brockhaus, Feb 10 2009

Status

approved