A159575 Decimal expansion of (339+26*sqrt(2))/337.

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

Offset

1,4

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (26+sqrt(2))/(26-sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129999.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159574.

Minimal polynomial: 337*x^2 - 678*x + 337. - Amiram Eldar, May 09 2026

Example

1.11504318285371059723692553955327047490448507050385...

Mathematica

RealDigits[(339+26*Sqrt[2])/337, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)

Prog

(PARI) (339+26*sqrt(2))/337 \\ G. C. Greubel, May 05 2018
(Magma) (339+26*Sqrt(2))/337; // G. C. Greubel, May 05 2018

Crossrefs

Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159576(decimal expansion of (278307+179662*sqrt(2))/337^2).

Sequence in context: A021956 A394088 A139341 * A092173 A393268 A292902

Adjacent sequences: A159572 A159573 A159574 * A159576 A159577 A159578

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 16 2009

Status

approved