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A132266 Decimal expansion of product{k>0, 1-1/(2*12^k)}. +0
2
4, 7, 7, 3, 5, 2, 1, 7, 0, 2, 5, 4, 8, 9, 3, 8, 0, 1, 9, 8, 3, 3, 4, 2, 8, 6, 3, 6, 5, 8, 2, 0, 2, 3, 0, 3, 5, 0, 8, 8, 5, 9, 6, 4, 2, 1, 4, 4, 4, 5, 8, 5, 0, 0, 7, 6, 0, 3, 4, 5, 6, 1, 3, 8, 9, 1, 4, 1, 2, 8, 8, 8, 5, 7, 9, 1, 6, 3, 5, 2, 4, 7, 7, 2, 8, 0, 9, 4, 1, 6, 5, 3, 5, 3, 6, 1, 1, 3, 5, 0, 0, 3, 7, 2, 5 (list; cons; graph; listen)
OFFSET

0,1

FORMULA

lim inf product{0<=k<=floor(log_12(n)), floor(n/12^k)*12^k/n} for n-->oo.

lim inf A132264(n)*12^((1+floor(log_12(n)))*floor(log_12(n))/2)/n^(1+floor(log_12(n))) for n-->oo.

lim inf A132264(n)*12^A000217(floor(log_12(n)))/n^(1+floor(log_12(n))) for n-->oo.

(1/2)*exp(-sum{n>0, 12^(-n)*sum{k|n, 1/(k*2^k))}}).

lim inf A132264(n)/A132264(n+1)=0.47735217025489380... for n-->oo.

EXAMPLE

0.47735217025489380198334286365820...

CROSSREFS

Cf. A048651, A132019-A132026, A132034-A132038, A132265-A132268, A132323-A132326, A132264, A000217.

Adjacent sequences: A132263 A132264 A132265 this_sequence A132267 A132268 A132269

Sequence in context: A114490 A097916 A086775 this_sequence A084104 A093582 A075113

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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