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A159759 Decimal expansion of (83+18*sqrt(2))/79. 3
1, 3, 7, 2, 8, 5, 8, 7, 8, 6, 3, 6, 3, 4, 9, 0, 0, 1, 1, 1, 1, 9, 3, 7, 2, 1, 1, 4, 3, 7, 6, 8, 9, 3, 2, 3, 3, 0, 9, 1, 8, 2, 3, 9, 7, 1, 6, 0, 4, 8, 7, 4, 2, 4, 4, 5, 2, 1, 2, 6, 8, 8, 0, 1, 0, 6, 1, 1, 7, 9, 5, 5, 2, 0, 5, 4, 6, 5, 7, 2, 9, 9, 9, 9, 1, 2, 2, 7, 5, 3, 9, 4, 6, 7, 0, 5, 7, 5, 7, 3, 5, 3, 4, 5, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (83+18*sqrt(2))/79 for n mod 3 = {1, 2}, b = A118676.

lim_{n -> infinity} b(n)/b(n-1) = (83+18*sqrt(2))/79 for n mod 3 = {0, 2}, b = A159758.

LINKS

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

FORMULA

(83+18*sqrt(2))/79 = (9+sqrt(2))/(9-sqrt(2)).

EXAMPLE

(83+18*sqrt(2))/79 = 1.37285878636349001111...

MATHEMATICA

RealDigits[(83+18Sqrt[2])/79, 10, 120][[1]] (* Harvey P. Dale, Jul 27 2017 *)

CROSSREFS

Cf. A118676, A159758, A002193 (decimal expansion of sqrt(2)), A159760 (decimal expansion of (10659+6110*sqrt(2))/79^2).

Sequence in context: A211342 A199401 A261573 * A243964 A197837 A222070

Adjacent sequences:  A159756 A159757 A159758 * A159760 A159761 A159762

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 30 2009

STATUS

approved

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Last modified January 20 10:23 EST 2018. Contains 297960 sequences.