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A157350 Decimal expansion of (130803 + 73738*sqrt(2))/281^2. 4
2, 9, 7, 7, 2, 2, 0, 1, 4, 2, 3, 7, 7, 4, 6, 8, 4, 0, 4, 7, 6, 3, 6, 0, 3, 8, 4, 4, 2, 4, 9, 3, 7, 2, 6, 8, 9, 2, 7, 1, 5, 4, 5, 0, 0, 0, 0, 1, 9, 5, 7, 1, 6, 4, 9, 5, 4, 7, 2, 7, 0, 3, 0, 4, 5, 8, 0, 2, 4, 3, 8, 1, 0, 1, 9, 5, 3, 9, 8, 3, 4, 6, 4, 0, 8, 3, 5, 1, 9, 2, 0, 6, 4, 7, 5, 5, 5, 5, 5, 6, 4, 1, 8, 1, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 0, b = A129626.

lim_{n -> infinity} b(n)/b(n-1) = (130803+73738*sqrt(2))/281^2 for n mod 3 = 1, b = A157348.

LINKS

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

FORMULA

(130803 + 73738*sqrt(2))/281^2 = (458 + 161*sqrt(2))/(458 - 161*sqrt(2)) = (3 + 2*sqrt(2))*(17 - 2*sqrt(2))^2/(17 + 2*sqrt(2))^2.

EXAMPLE

(130803 + 73738*sqrt(2))/281^2 = 2.97722014237746840476...

MATHEMATICA

RealDigits[(130803 + 73738*Sqrt[2])/281^2, 10, 100][[1]] (* G. C. Greubel, Feb 01 2018 *)

PROG

(PARI) (130803+73738*sqrt(2))/281^2 \\ G. C. Greubel, Feb 01 2018

(MAGMA) (130803+73738*Sqrt(2))/281^2 // G. C. Greubel, Feb 01 2018

CROSSREFS

Cf. A129626, A157348, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A157349 (decimal expansion of (297+68*sqrt(2))/281).

Sequence in context: A268086 A021340 A241753 * A121837 A160439 A245287

Adjacent sequences:  A157347 A157348 A157349 * A157351 A157352 A157353

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 12 2009

STATUS

approved

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Last modified October 21 14:44 EDT 2019. Contains 328301 sequences. (Running on oeis4.)