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A100221 Decimal expansion of Product[1-1/4^k,{k,Infinity}]. +0
5
6, 8, 8, 5, 3, 7, 5, 3, 7, 1, 2, 0, 3, 3, 9, 7, 1, 5, 4, 5, 6, 5, 1, 4, 3, 5, 7, 2, 9, 3, 5, 0, 8, 1, 8, 4, 6, 7, 5, 5, 4, 9, 8, 1, 9, 3, 7, 8, 3, 3, 5, 7, 3, 5, 3, 4, 0, 1, 5, 7, 2, 3, 2, 5, 7, 7, 5, 3, 3, 1, 9, 8, 4, 5, 0, 7, 9, 8, 6, 7, 5, 1, 2, 4, 8, 0, 3, 3, 4, 6, 0, 4, 8, 1, 4, 2, 8, 8, 7, 9, 0, 5 (list; cons; graph; listen)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Infinite Product

FORMULA

EllipticThetaPrime[1, 0, 1/2]^(1/3)/2^(1/4)

exp(-sum{k>0, sigma_1(k)/k/4^k})=exp(-sum{k>0, A000203(k)/k/4^k}). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 07 2007

EXAMPLE

0.688537537...

CROSSREFS

Cf. A048651, A100220, A100222.

Cf. A000203, A100220, A100222, A132020, A132034, A132035, A132036, A132037, A132038.

Sequence in context: A157852 A088608 A011481 this_sequence A157683 A049110 A113697

Adjacent sequences: A100218 A100219 A100220 this_sequence A100222 A100223 A100224

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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