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A132024 Decimal expansion of Product{k>0, 1-1/(2*8^k)}. 3
4, 6, 4, 5, 6, 8, 8, 8, 3, 6, 8, 6, 4, 7, 6, 3, 9, 0, 9, 8, 1, 9, 5, 9, 5, 6, 9, 7, 4, 8, 4, 7, 8, 0, 1, 0, 8, 7, 0, 0, 5, 8, 5, 1, 5, 4, 9, 5, 1, 2, 3, 0, 6, 5, 5, 6, 6, 0, 8, 5, 6, 0, 5, 9, 7, 0, 6, 0, 9, 9, 5, 7, 6, 2, 7, 4, 4, 1, 5, 4, 3, 8, 4, 8, 7, 8, 8, 8, 1, 2, 5, 0, 7, 6, 2, 1, 9, 4, 7, 0, 8, 1, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..102.

FORMULA

lim inf product{0<=k<=floor(log_8(n)), floor(n/8^k)*8^k/n} for n-->oo.

lim inf A132032(n)/n^(1+floor(log_8(n)))*8^(1/2*(1+floor(log_8(n)))*floor(log_8(n))) for n-->oo.

lim inf A132032(n)/n^(1+floor(log_8(n)))*8^A000217(floor(log_8(n))) for n-->oo.

(1/2)*exp(-sum{n>0, 8^(-n)*sum{k|n, 1/(k*2^k))}}).

lim inf A132032(n)/A132032(n+1)=0.46456888368647639098... for n-->oo.

EXAMPLE

0.46456888368647639098...

MATHEMATICA

RealDigits[QPochhammer[1/2, 1/8], 10, 120][[1]] (* Harvey P. Dale, May 23 2011 *)

CROSSREFS

Cf. A048651, A098844, A067080, A132019, A132026, A132032, A132036, A000217.

Sequence in context: A078385 A137444 A137429 * A092039 A243371 A123999

Adjacent sequences:  A132021 A132022 A132023 * A132025 A132026 A132027

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer, Aug 14 2007

STATUS

approved

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Last modified September 28 19:16 EDT 2021. Contains 347717 sequences. (Running on oeis4.)