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A132265 Decimal expansion of product{k>0, 1-1/(2*11^k)}. +0
11
4, 7, 5, 1, 0, 4, 1, 2, 7, 5, 0, 7, 6, 0, 3, 1, 0, 5, 3, 9, 7, 5, 6, 4, 4, 4, 7, 2, 9, 4, 6, 9, 7, 6, 9, 4, 3, 3, 6, 9, 7, 1, 9, 2, 1, 1, 7, 0, 8, 5, 1, 1, 6, 3, 8, 0, 0, 7, 7, 3, 6, 6, 5, 4, 1, 3, 0, 4, 7, 5, 4, 4, 5, 7, 2, 4, 8, 7, 7, 3, 7, 2, 3, 0, 8, 4, 3, 7, 6, 9, 3, 7, 4, 4, 1, 6, 8, 2, 4, 9, 8, 2, 2, 7, 3 (list; cons; graph; listen)
OFFSET

0,1

FORMULA

lim inf product{0<=k<=floor(log_11(n)), floor(n/11^k)*11^k/n} for n-->oo.

lim inf A132263(n)*11^((1+floor(log_11(n)))*floor(log_11(n))/2)/n^(1+floor(log_11(n))) for n-->oo.

lim inf A132263(n)*11^A000217(floor(log_11(n)))/n^(1+floor(log_11(n))) for n-->oo.

(1/2)*exp(-sum{n>0, 11^(-n)*sum{k|n, 1/(k*2^k))}}).

lim inf A132263(n)/A132263(n+1)=0.47510412750760310539756444... for n-->oo.

EXAMPLE

0.47510412750760310539756444...

CROSSREFS

Cf. A132019-A132026, A132034-A132038, A132266-A132268, A132323-A132326, A132263, A000217.

Sequence in context: A106027 A101159 A011518 this_sequence A079356 A146539 A122165

Adjacent sequences: A132262 A132263 A132264 this_sequence A132266 A132267 A132268

KEYWORD

nonn,cons

AUTHOR

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

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


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