A159702 - OEIS

A159702

Decimal expansion of (969 + 44*sqrt(2))/967.

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

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OFFSET

1,3

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130017.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159701.

LINKS

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

FORMULA

Equals (44 + sqrt(2))/(44 - sqrt(2)).

EXAMPLE

(969 + 44*sqrt(2))/967 = 1.06641716312762790294...

MATHEMATICA

RealDigits[(969 +44*Sqrt[2])/967, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

PROG

(PARI) (969 +44*sqrt(2))/967 \\ G. C. Greubel, May 22 2018

(Magma) (969 +44*Sqrt(2))/967; // G. C. Greubel, May 22 2018

CROSSREFS

Cf. A130017, A159701, A002193 (decimal expansion of sqrt(2)), A159703 (decimal expansion of (2487411+1629850*sqrt(2))/967^2).

Sequence in context: A019133 A214581 A094888 * A255188 A164510 A019957

Adjacent sequences: A159699 A159700 A159701 * A159703 A159704 A159705

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 21 2009

STATUS

approved