A159576 - OEIS

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A159576

Decimal expansion of (278307+179662*sqrt(2))/337^2.

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129999.

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

LINKS

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

FORMULA

Equals (626+287*sqrt(2))/(626-287*sqrt(2)).

Equals (3+2*sqrt(2))*(26-sqrt(2))^2/(26+sqrt(2))^2.

EXAMPLE

(278307+179662*sqrt(2))/337^2 = 4.68778836692297196116...

MATHEMATICA

RealDigits[(278307+179662*Sqrt[2])/337^2, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)

PROG

(PARI) (278307+179662*sqrt(2))/337^2 \\ G. C. Greubel, May 05 2018

(Magma) (278307+179662*Sqrt(2))/337^2; // G. C. Greubel, May 05 2018

CROSSREFS

Cf. A129999, A159574, A002193 (decimal expansion of sqrt(2)), A159575 (decimal expansion of (339+26*sqrt(2))/337).

Sequence in context: A188930 A332331 A352421 * A199626 A372790 A163639

Adjacent sequences: A159573 A159574 A159575 * A159577 A159578 A159579

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 16 2009

STATUS

approved