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A160201 Decimal expansion of (1003+462*sqrt(2))/761. 3
2, 1, 7, 6, 5, 6, 5, 9, 2, 0, 9, 1, 5, 0, 7, 2, 1, 5, 8, 4, 0, 5, 2, 3, 0, 2, 1, 1, 0, 1, 8, 2, 3, 9, 8, 3, 2, 1, 9, 3, 4, 1, 4, 4, 6, 3, 1, 0, 6, 6, 3, 6, 0, 1, 8, 1, 4, 4, 0, 5, 5, 2, 4, 1, 7, 2, 3, 6, 7, 7, 2, 7, 3, 3, 8, 9, 6, 1, 0, 3, 1, 7, 9, 3, 5, 4, 5, 2, 0, 9, 0, 4, 8, 5, 3, 7, 5, 0, 4, 1, 5, 2, 9, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (1003+462*sqrt(2))/761 for n mod 3 = {1, 2}, b = A122694.

lim_{n -> infinity} b(n)/b(n-1) = (1003+462*sqrt(2))/761 for n mod 3 = {0, 2}, b = A160200.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

(1003+462*sqrt(2))/761 = (42+11*sqrt(2))/(42-11*sqrt(2)).

EXAMPLE

(1003+462*sqrt(2))/761 = 2.17656592091507215840...

MATHEMATICA

RealDigits[(1003+462*Sqrt[2])/761, 10, 120][[1]] (* Harvey P. Dale, Feb 07 2016 *)

CROSSREFS

Cf. A122694, A160200, A002193 (decimal expansion of sqrt(2)), A160202 (decimal expansion of (591603+85478*sqrt(2))/761^2).

Sequence in context: A180568 A248950 A078301 * A204912 A178049 A257577

Adjacent sequences:  A160198 A160199 A160200 * A160202 A160203 A160204

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, May 18 2009

STATUS

approved

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Last modified February 19 18:31 EST 2018. Contains 299356 sequences. (Running on oeis4.)