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A132021
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Decimal expansion of Product{k>0, 1-1/(2*5^k)}.
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1
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4, 3, 8, 7, 9, 6, 8, 3, 7, 2, 0, 3, 6, 3, 8, 5, 3, 1, 2, 6, 6, 7, 2, 9, 9, 9, 7, 1, 7, 7, 2, 5, 8, 3, 5, 9, 6, 0, 4, 5, 7, 4, 6, 3, 1, 2, 3, 9, 3, 5, 1, 1, 6, 5, 4, 1, 7, 7, 3, 6, 7, 5, 6, 4, 3, 6, 7, 9, 1, 0, 6, 6, 5, 6, 9, 8, 6, 6, 5, 0, 0, 6, 9, 2, 8, 9, 6, 6, 7, 2, 3, 8, 9, 8, 5, 4, 4, 0, 0, 6, 0, 2, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| lim inf product{0<=k<=floor(log_5(n)), floor(n/5^k)*5^k/n} for n-->oo.
lim inf A132029(n)/n^(1+floor(log_5(n)))*5^(1/2*(1+floor(log_5(n)))*floor(log_5(n))) for n-->oo.
lim inf A132029(n)/n^(1+floor(log_5(n)))*5^A000217(floor(log_5(n))) for n-->oo.
(1/2)*exp(-sum{n>0, 5^(-n)*sum{k|n, 1/(k*2^k))}}).
lim inf A132029(n)/A132029(n+1)=0.438796837203638531... for n-->oo.
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EXAMPLE
| 0.438796837203638531...
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CROSSREFS
| Cf. A048651, A098844, A067080, A132019, A132026, A132029, A100222, A000217.
Sequence in context: A200089 A117956 A110662 * A089368 A116583 A196521
Adjacent sequences: A132018 A132019 A132020 * A132022 A132023 A132024
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KEYWORD
| nonn,cons
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AUTHOR
| Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 14 2007
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