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A073016 Decimal expansion of the sum(1/binomial(2*n,n),n=1..infinity). +0
4
7, 3, 6, 3, 9, 9, 8, 5, 8, 7, 1, 8, 7, 1, 5, 0, 7, 7, 9, 0, 9, 7, 9, 5, 1, 6, 8, 3, 6, 4, 9, 2, 3, 4, 9, 6, 0, 6, 3, 1, 2, 5, 8, 3, 2, 9, 0, 9, 4, 9, 7, 9, 0, 5, 6, 8, 2, 1, 9, 6, 6, 5, 2, 3, 0, 8, 4, 7, 1, 8, 1, 8, 0, 2, 8, 0, 7, 8, 6, 4, 0, 8, 1, 8, 6, 9, 4, 4, 4, 1, 8, 2, 4, 9, 0, 2, 2, 5, 9, 7, 4, 5, 8, 2, 7 (list; cons; graph; listen)
OFFSET

0,1

LINKS

Simon Plouffe, sum(1/n^n,n=1..infinity)

Eric Weisstein's World of Mathematics, Central Binomial Coefficient

FORMULA

sum(1/binomial(2*n, n), n=1..infinity) = (9 + 2*Sqrt[3]*Pi)/27.

EXAMPLE

0.7363998587187...

MATHEMATICA

RealDigits[ N[ (9 + 2*Sqrt[3]*Pi)/27, 110]] [[1]]

CROSSREFS

Sequence in context: A030760 A021580 A091682 this_sequence A019819 A023643 A050009

Adjacent sequences: A073013 A073014 A073015 this_sequence A073017 A073018 A073019

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002

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


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