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A079555
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Decimal expansion of product(k>=1,1+1/2^k) = 2.384231029031371...
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4
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2, 3, 8, 4, 2, 3, 1, 0, 2, 9, 0, 3, 1, 3, 7, 1, 7, 2, 4, 1, 4, 9, 8, 9, 9, 2, 8, 8, 6, 7, 8, 3, 9, 7, 2, 3, 8, 7, 7, 1, 6, 1, 9, 5, 1, 6, 5, 0, 8, 4, 3, 3, 4, 5, 7, 6, 9, 2, 1, 0, 1, 5, 0, 7, 9, 8, 9, 1, 8, 1, 2, 9, 3, 0, 3, 6, 0, 3, 7, 2, 5, 5, 1, 8, 6, 5, 3, 5, 2, 1, 0, 3, 6, 5, 6, 8, 0, 5, 2, 0, 0, 0, 2, 6, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| (1/2)*lim sup product{0<=k<=floor(log_2(n)), (1+1/floor(n/2^k))} for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
(1/2)*lim sup A132369(n)/A098844(n) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
(1/2)*lim sup A132269(n)/n^((1+log_2(n))/2) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
(1/2)*lim sup A132270(n)/n^((log_2(n)-1)/2) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
exp(sum{n>0, 2^(-n)*sum{k|n, -(-1)^k/k}})=exp(sum{n>0, A000593(n)/(n*2^n)}). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
(1/2)*lim sup A132269(n+1)/A132269(n)=2.3842310290313717241498992886... for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
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CROSSREFS
| Cf. A028362.
Cf. A048651, A100220, A098844, A132019-A132026, A132034-A132038, A132265-A132268, A132323-A132326, A132269, A132270, A000593.
Sequence in context: A154826 A155994 A011162 * A100870 A195794 A145605
Adjacent sequences: A079552 A079553 A079554 * A079556 A079557 A079558
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KEYWORD
| cons,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 25 2003
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