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A100222 Decimal expansion of Product[1-1/5^k,{k,Infinity}]. +0
5
7, 6, 0, 3, 3, 2, 7, 9, 5, 8, 7, 1, 2, 3, 2, 4, 2, 0, 1, 0, 1, 4, 8, 8, 2, 9, 6, 2, 9, 2, 6, 6, 5, 1, 5, 9, 4, 7, 4, 3, 4, 3, 9, 2, 8, 8, 7, 3, 2, 0, 5, 7, 9, 5, 1, 9, 8, 7, 7, 0, 9, 8, 4, 4, 0, 0, 8, 8, 8, 8, 5, 9, 9, 5, 3, 7, 5, 5, 2, 3, 3, 6, 5, 2, 7, 5, 1, 5, 3, 4, 0, 8, 6, 6, 1, 4, 3, 2, 3, 2, 5, 6 (list; cons; graph; listen)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Infinite Product

FORMULA

(5^(1/24)*EllipticThetaPrime[1, 0, 1/Sqrt[5]]^(1/3))/2^(1/3)

exp(-sum{k>0, sigma_1(k)/k/5^k})=exp(-sum{k>0, A000203(k)/k/5^k}). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 07 2007

EXAMPLE

0.760332795...

CROSSREFS

Cf. A048651, A100220, A100221.

Cf. A000203, A100220, A100221, A132020, A132034, A132035, A132036, A132037, A132038.

Sequence in context: A012878 A003299 A154017 this_sequence A154850 A011236 A111508

Adjacent sequences: A100219 A100220 A100221 this_sequence A100223 A100224 A100225

KEYWORD

nonn,cons

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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