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A157300 Decimal expansion of (1683 + 58*sqrt(2))/41^2. 2
1, 0, 4, 9, 9, 8, 4, 7, 6, 3, 0, 0, 8, 7, 0, 8, 8, 1, 1, 9, 1, 5, 8, 2, 2, 6, 9, 2, 4, 4, 7, 4, 4, 9, 4, 2, 8, 0, 5, 2, 9, 6, 9, 0, 4, 7, 4, 5, 5, 0, 0, 4, 7, 5, 2, 0, 7, 8, 6, 7, 1, 8, 7, 6, 7, 4, 2, 0, 9, 5, 4, 6, 9, 2, 1, 5, 2, 3, 0, 3, 4, 3, 9, 9, 3, 6, 4, 8, 1, 1, 2, 4, 2, 7, 7, 2, 3, 5, 0, 4, 5, 9, 1, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (1683+58*sqrt(2))/41^2 for n mod 3 = 0, b = A129288.

lim_{n -> infinity} b(n)/b(n-1) = (1683+58*sqrt(2))/41^2 for n mod 3 = 1, b = A157257.

LINKS

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

FORMULA

Equals (58+sqrt(2))/(58-sqrt(2)).

Equals (3+2*sqrt(2))*(7-2*sqrt(2))^2/(7+2*sqrt(2))^2.

EXAMPLE

(1683+58*sqrt(2))/41^2 = 1.04998476300870881191...

MAPLE

evalf((1683+58*sqrt(2))/41^2, 120); # Muniru A Asiru, Sep 28 2018

MATHEMATICA

RealDigits[(1683+58Sqrt[2])/41^2, 10, 120][[1]] (* Harvey P. Dale, May 05 2014 *)

PROG

(PARI) default(realprecision, 100); (1683+58*sqrt(2))/41^2 \\ G. C. Greubel, Sep 28 2018

(Magma) SetDefaultRealField(RealField(100)); (1683+58*Sqrt(2))/41^2; // G. C. Greubel, Sep 28 2018

CROSSREFS

Cf. A129288, A157257, A002193 (decimal expansion of sqrt(2)), A157260 (decimal expansion of ((57+28*sqrt(2))/41).

Sequence in context: A011512 A200642 A209674 * A100555 A250126 A186887

Adjacent sequences: A157297 A157298 A157299 * A157301 A157302 A157303

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, May 01 2009

STATUS

approved

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Last modified November 30 12:40 EST 2022. Contains 358441 sequences. (Running on oeis4.)