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A157697 Decimal expansion of sqrt(2/3). +0
1
8, 1, 6, 4, 9, 6, 5, 8, 0, 9, 2, 7, 7, 2, 6, 0, 3, 2, 7, 3, 2, 4, 2, 8, 0, 2, 4, 9, 0, 1, 9, 6, 3, 7, 9, 7, 3, 2, 1, 9, 8, 2, 4, 9, 3, 5, 5, 2, 2, 2, 3, 3, 7, 6, 1, 4, 4, 2, 3, 0, 8, 5, 5, 7, 5, 0, 3, 2, 0, 1, 2, 5, 8, 1, 9, 1, 0, 5, 0, 0, 8, 8, 4, 6, 6, 1, 9, 8, 1, 1, 0, 3, 4, 8, 8, 0, 0, 7, 8, 2, 7, 2, 8, 6, 4 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

Equals sum_{n=0..infinity} (-1)^n*binomial(2n,n)/8^n = 1/A115754 . Averaging this constant with sqrt(2) = A002193 = sum_{n=0..inf} binomial(2n,n)/8^n yields A145439.

LINKS

D. H. Lehmer, Interesting series involving the Central Binomial Coefficient, Am. Math. Monthly 92, no 7 (1985) 449-457.

EXAMPLE

0.816496580927726056140063577...

CROSSREFS

Sequence in context: A033812 A019717 A007404 this_sequence A005486 A010157 A159642

Adjacent sequences: A157694 A157695 A157696 this_sequence A157698 A157699 A157700

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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