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A132022 Decimal expansion of Product{k>0, 1-1/(2*6^k)}. +0
3
4, 5, 0, 7, 1, 2, 6, 2, 5, 2, 2, 6, 0, 3, 9, 1, 3, 0, 8, 3, 0, 0, 0, 0, 7, 8, 9, 5, 8, 3, 5, 2, 7, 1, 5, 5, 6, 0, 4, 4, 6, 7, 8, 5, 0, 0, 5, 4, 0, 0, 8, 5, 4, 7, 4, 3, 9, 0, 4, 5, 8, 3, 4, 8, 9, 2, 4, 4, 0, 9, 6, 0, 7, 5, 4, 0, 6, 2, 9, 4, 0, 7, 8, 2, 4, 3, 5, 3, 4, 5, 3, 1, 8, 6, 0, 8, 9, 6, 2, 6, 9, 2, 7 (list; cons; graph; listen)
OFFSET

0,1

FORMULA

lim inf product{0<=k<=floor(log_6(n)), floor(n/6^k)*6^k/n} for n-->oo.

lim inf A132030(n)/n^(1+floor(log_6(n)))*6^(1/2*(1+floor(log_6(n)))*floor(log_6(n))) for n-->oo.

lim inf A132030(n)/n^(1+floor(log_6(n)))*6^A000217(floor(log_6(n))) for n-->oo.

(1/2)*exp(-sum{n>0, 6^(-n)*sum{k|n, 1/(k*2^k))}}).

lim inf A132030(n)/A132030(n+1)=0.45071262522603913... for n-->oo.

EXAMPLE

0.45071262522603913...

CROSSREFS

Cf. A048651, A098844, A067080, A132019, A132026, A132030, A132034, A000217.

Sequence in context: A021226 A011286 A092487 this_sequence A122753 A016714 A113950

Adjacent sequences: A132019 A132020 A132021 this_sequence A132023 A132024 A132025

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 14 2007

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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