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A132019 Decimal expansion of Product{k>=0, 1-1/(2*3^k)}. 25
3, 8, 2, 6, 6, 3, 1, 9, 6, 6, 7, 9, 0, 3, 3, 0, 2, 3, 2, 8, 8, 9, 5, 5, 0, 3, 3, 5, 3, 3, 1, 9, 1, 3, 2, 2, 7, 9, 5, 3, 7, 7, 1, 9, 7, 3, 1, 2, 7, 6, 7, 1, 1, 8, 0, 5, 5, 1, 4, 9, 5, 3, 5, 4, 6, 7, 8, 6, 8, 7, 5, 2, 4, 4, 0, 8, 2, 7, 5, 9, 9, 2, 7, 0, 3, 5, 3, 6, 4, 7, 1, 8, 8, 7, 4, 2, 5, 1, 6, 5, 6, 4, 6 (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_3(n)), floor(n/3^k)*3^k/n} for n-->oo.

lim inf A132027(n)/n^(1+floor(log_3(n)))*3^(1/2*(1+floor(log_3(n)))*floor(log_3(n))) for n-->oo.

lim inf A132027(n)/n^(1+floor(log_3(n)))*3^A000217(floor(log_3(n))) for n-->oo.

(1/2)*exp(-sum{n>0, 3^(-n)*sum{k|n, 1/(k*2^k))}}).

lim inf A132027(n)/A132027(n+1)=0.3826631966790330232889550... for n-->oo.

EXAMPLE

0.3826631966790330232889550...

MATHEMATICA

digits = 103; NProduct[1-1/(2*3^k), {k, 0, Infinity}, NProductFactors -> 100, WorkingPrecision -> digits+3] // N[#, digits+3]& // RealDigits[#, 10, digits]& // First (* Jean-Fran├žois Alcover, Feb 18 2014 *)

CROSSREFS

Cf. A098844, A067080, A132026, A132027, A000217.

Sequence in context: A220516 A010627 A103712 * A182168 A086178 A016669

Adjacent sequences:  A132016 A132017 A132018 * A132020 A132021 A132022

KEYWORD

nonn,cons

AUTHOR

Hieronymus Fischer, Aug 13 2007

STATUS

approved

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Last modified June 22 23:15 EDT 2017. Contains 288633 sequences.