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A268813 Decimal expansion of sum(k>=0, 1/C(k)), where C(k) is a Catalan Number (A000108). 3
2, 8, 0, 6, 1, 3, 3, 0, 5, 0, 7, 7, 0, 7, 6, 3, 4, 8, 9, 1, 5, 2, 9, 2, 3, 6, 7, 0, 0, 6, 3, 1, 8, 0, 3, 2, 5, 4, 5, 9, 5, 8, 4, 9, 9, 9, 1, 5, 2, 3, 2, 9, 1, 4, 4, 6, 9, 7, 7, 2, 6, 6, 3, 7, 9, 5, 0, 2, 7, 6, 9, 6, 9, 3, 8, 9, 4, 9, 0, 6, 1, 4, 9, 7, 0, 7, 2, 2, 2, 1, 6, 9, 8, 3, 1, 3, 7, 8, 5, 2, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..102.

Eric Weisstein's MathWorld, Catalan Number.

Wikipedia, Catalan number

FORMULA

Equals 2 + 4*Pi/(9*sqrt(3)) = 1+A121839.

Also equals 2F1(1, 2; 1/2; 1/4), where 2F1 is the hypergeometric function 2F1.

EXAMPLE

2.80613305077076348915292367006318032545958499915232914469772663795...

MATHEMATICA

RealDigits[2 + 4*Pi/(9*Sqrt[3]), 10, 102][[1]]

CROSSREFS

Cf. A000108, A121839 (which is the main entry for this constant).

Sequence in context: A251794 A188924 A011055 * A242056 A195009 A020860

Adjacent sequences:  A268810 A268811 A268812 * A268814 A268815 A268816

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Feb 14 2016

STATUS

approved

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Last modified October 19 22:28 EDT 2018. Contains 316378 sequences. (Running on oeis4.)