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A160581 Decimal expansion of (601+276*sqrt(2))/457. 4
2, 1, 6, 9, 1, 9, 6, 8, 1, 2, 2, 8, 6, 5, 9, 5, 6, 9, 6, 8, 6, 9, 2, 9, 1, 2, 2, 0, 7, 4, 8, 0, 8, 8, 9, 9, 2, 7, 4, 6, 6, 7, 2, 7, 2, 9, 9, 8, 6, 9, 5, 3, 3, 2, 2, 0, 9, 3, 5, 7, 4, 6, 3, 3, 8, 8, 4, 9, 9, 3, 7, 9, 4, 4, 3, 2, 2, 5, 7, 2, 0, 5, 0, 8, 2, 5, 0, 9, 7, 5, 8, 1, 4, 9, 7, 3, 5, 3, 9, 1, 8, 4, 8, 7, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129642.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160580.

LINKS

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

FORMULA

Equals (23+6*sqrt(2))/(23-6*sqrt(2)).

EXAMPLE

(601+276*sqrt(2))/457 = 2.16919681228659569686...

MATHEMATICA

RealDigits[(601 +276*Sqrt[2])/457, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

PROG

(PARI) (601 +276*sqrt(2))/457 \\ G. C. Greubel, Apr 08 2018

(MAGMA) (601 +276*Sqrt(2))/457; // G. C. Greubel, Apr 08 2018

CROSSREFS

Cf. A129642, A160580, A002193 (decimal expansion of sqrt(2)), A160582 (decimal expansion of (213651+31850*sqrt(2))/457^2).

Sequence in context: A073675 A188167 A156034 * A021465 A139526 A248927

Adjacent sequences:  A160578 A160579 A160580 * A160582 A160583 A160584

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Jun 08 2009

STATUS

approved

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Last modified September 17 22:06 EDT 2021. Contains 347489 sequences. (Running on oeis4.)