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A100220 Decimal expansion of Product[1-1/3^k,{k,Infinity}]. +0
19
5, 6, 0, 1, 2, 6, 0, 7, 7, 9, 2, 7, 9, 4, 8, 9, 4, 4, 9, 6, 9, 7, 9, 2, 2, 4, 3, 3, 1, 4, 1, 4, 0, 0, 1, 4, 3, 7, 9, 7, 3, 6, 3, 3, 3, 7, 9, 8, 3, 6, 2, 4, 6, 4, 4, 6, 2, 9, 5, 6, 2, 9, 7, 3, 1, 7, 5, 3, 3, 9, 6, 3, 0, 8, 9, 0, 3, 3, 7, 9, 4, 7, 0, 7, 7, 1, 6, 9, 1, 8, 7, 7, 0, 5, 3, 6, 7, 4, 3, 3, 4, 8 (list; cons; graph; listen)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Infinite Product

FORMULA

(3^(1/24)*EllipticThetaPrime[1, 0, 1/Sqrt[3]]^(1/3))/2^(1/3)

exp(-sum{k>0, sigma_1(k)/k/3^k})=exp(-sum{k>0, A000203(k)/k/3^k}). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 07 2007

EXAMPLE

0.560126077...

CROSSREFS

Cf. A048651, A100221, A100222.

Cf. A000203, A100221, A100222, A132019, A132034, A132035, A132036, A132037, A132038.

Sequence in context: A110800 A021645 A031364 this_sequence A011440 A092161 A088602

Adjacent sequences: A100217 A100218 A100219 this_sequence A100221 A100222 A100223

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Nov 09, 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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