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A100220
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Decimal expansion of Product[1-1/3^k, {k,Infinity}].
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18
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 0.560126077... = limit of the probability that a random N X N matrix, with entries chosen independently and uniformly from the field F_3, is nonsingular [Morrison (2006)]. - L. Edson Jeffery, Jan 22 2012
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LINKS
| Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, J. Integer Seq., Vol 9 (2006), Article 06.2.1, PDF version.
Eric Weisstein's World of Mathematics, Infinite Product
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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
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EXAMPLE
| 0.560126077...
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CROSSREFS
| Cf. A048651.
Cf. A000203, A100221, A100222, A132019, A132034, A132035, A132036, A132037, A132038.
Sequence in context: A021645 A031364 A201591 * A011440 A178591 A179588
Adjacent sequences: A100217 A100218 A100219 * A100221 A100222 A100223
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KEYWORD
| nonn,cons
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Nov 09, 2004
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