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A132026 Decimal expansion of Product{k>0, 1-1/(2*10^k)}. +0
28
4, 7, 2, 3, 6, 2, 4, 4, 3, 8, 1, 6, 5, 7, 2, 2, 3, 6, 5, 5, 1, 4, 1, 3, 3, 8, 3, 3, 3, 2, 3, 2, 7, 3, 5, 3, 3, 4, 9, 6, 6, 4, 2, 9, 5, 8, 5, 0, 2, 2, 1, 9, 4, 6, 2, 1, 8, 8, 9, 0, 9, 6, 1, 1, 7, 7, 8, 7, 1, 9, 9, 4, 4, 2, 6, 0, 1, 3, 0, 7, 7, 9, 5, 4, 2, 9, 4, 3, 2, 5, 3, 0, 7, 2, 3, 0, 7, 8, 1, 1, 8, 1, 2 (list; cons; graph; listen)
OFFSET

0,1

FORMULA

lim inf product{0<=k<=floor(log_10(n)), floor(n/10^k)*10^k/n} for n-->oo.

lim inf A067080(n)/n^(1+floor(log_10(n)))*10^(1/2*(1+floor(log_10(n)))*floor(log_10(n))) for n-->oo.

lim inf A067080(n)/n^(1+floor(log_10(n)))*10^A000217(floor(log_10(n))) for n-->oo.

lim inf A067080(n)/A067080(n+1)=0.472362443816572236551413383332... for n-->oo.

1/2*exp(-sum{n>0, 10^(-n)*sum{k|n, 1/(k*2^k))}}).

EXAMPLE

0.472362443816572236551413383332...

CROSSREFS

Cf. A098844, A067080, A132019, A000217.

Sequence in context: A139346 A133390 A011351 this_sequence A130882 A113963 A071932

Adjacent sequences: A132023 A132024 A132025 this_sequence A132027 A132028 A132029

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jul 28 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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