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Search: id:A081845
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| A081845 |
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Decimal expansion of prod(k>=0,1+1/2^k). |
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+0
4
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| 4, 7, 6, 8, 4, 6, 2, 0, 5, 8, 0, 6, 2, 7, 4, 3, 4, 4, 8, 2, 9, 9, 7, 9, 8, 5, 7, 7, 3, 5, 6, 7, 9, 4, 4, 7, 7, 5, 4, 3, 2, 3, 9, 0, 3, 3, 0, 1, 6, 8, 6, 6, 9, 1, 5, 3, 8, 4, 2, 0, 3, 0, 1, 5, 9, 7, 8, 3, 6, 2, 5, 8, 6, 0, 7, 2, 0, 7, 4, 5, 1, 0, 3, 7, 3, 0, 7, 0, 4, 2, 0, 7, 3, 1, 3, 6, 1, 0, 4, 0, 0, 0, 5, 3, 7
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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Twice the product in A079555.
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FORMULA
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4.76846205806274344829979857....
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
lim sup A132369(n)/A098844(n) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
lim sup A132269(n)/n^((1+log_2(n))/2) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
lim sup A132270(n)/n^((log_2(n)-1)/2) for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
2*exp(sum{n>0, 2^(-n)*sum{k|n, -(-1)^k/k}})=2*exp(sum{n>0, A000593(n)/(n*2^n)}). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
lim sup A132269(n+1)/A132269(n)=4.76846205806274344... for n-->oo. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007
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CROSSREFS
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Cf. A028361.
Cf. A048651, A100220, A098844, A132019-A132026, A132034-A132038, A132265-A132268, A132323-A132326, A132269, A132270, A000593.
Sequence in context: A056849 A116081 A105228 this_sequence A069286 A079354 A122460
Adjacent sequences: A081842 A081843 A081844 this_sequence A081846 A081847 A081848
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 09 2003
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