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A157472 Decimal expansion of (627+238*sqrt(2))/23^2. 2
1, 8, 2, 1, 5, 1, 7, 6, 3, 2, 9, 7, 6, 9, 3, 1, 2, 3, 1, 7, 8, 6, 0, 1, 4, 9, 6, 4, 7, 6, 7, 3, 1, 2, 1, 7, 9, 0, 1, 6, 2, 2, 2, 8, 8, 5, 3, 3, 0, 2, 7, 1, 5, 3, 3, 8, 6, 7, 7, 6, 8, 9, 5, 5, 8, 4, 4, 6, 0, 1, 7, 5, 7, 7, 9, 5, 8, 0, 6, 1, 9, 1, 3, 9, 2, 0, 4, 5, 8, 0, 9, 3, 9, 5, 0, 4, 4, 7, 9, 0, 7, 5, 7, 9, 0 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

lim_{n -> infinity} b(n)/b(n-1) = (627+238*sqrt(2))/23^2 for n mod 3 = 0, b= A118337.

lim_{n -> infinity} b(n)/b(n-1) = (627+238*sqrt(2))/23^2 for n mod 3 = 1, b= A156567.

FORMULA

(627+238*sqrt(2))/23^2 = (34+7*sqrt(2))/(34-7*sqrt(2))

= (3+2*sqrt(2))*(10-2*sqrt(2))^2/(10+2*sqrt(2))^2.

EXAMPLE

(627+238*sqrt(2))/23^2 = 1.82151763297693123178...

CROSSREFS

Cf. A118337, A156567, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A156571 (decimal expansion of (27+10*sqrt(2))/23).

Sequence in context: A010149 A199796 A021553 * A179640 A147868 A073442

Adjacent sequences:  A157469 A157470 A157471 * A157473 A157474 A157475

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 12 2009

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.