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A132025
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Decimal expansion of Product{k>0, 1-1/(2*9^k)}.
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2
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4, 6, 8, 9, 4, 5, 1, 7, 8, 3, 6, 7, 0, 2, 3, 6, 9, 3, 2, 8, 3, 2, 8, 0, 0, 3, 5, 4, 1, 8, 6, 5, 6, 3, 9, 4, 0, 6, 8, 0, 4, 5, 7, 5, 8, 6, 9, 8, 9, 8, 5, 6, 0, 1, 6, 7, 1, 9, 7, 9, 9, 2, 3, 2, 7, 4, 7, 5, 7, 3, 2, 8, 3, 4, 6, 7, 0, 4, 3, 8, 1, 7, 5, 4, 9, 5, 0, 9, 4, 2, 7, 5, 7, 0, 0, 0, 1, 5, 9, 1, 7, 1, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| lim inf product{0<=k<=floor(log_9(n)), floor(n/9^k)*9^k/n} for n-->oo.
lim inf A132033(n)/n^(1+floor(log_9(n)))*9^(1/2*(1+floor(log_9(n)))*floor(log_9(n))) for n-->oo.
lim inf A132033(n)/n^(1+floor(log_9(n)))*9^A000217(floor(log_9(n))) for n-->oo.
(1/2)*exp(-sum{n>0, 9^(-n)*sum{k|n, 1/(k*2^k))}}).
lim inf A132033(n)/A132033(n+1)=0.4689451783670236932832800... for n-->oo.
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EXAMPLE
| 0.4689451783670236932832800...
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CROSSREFS
| Cf. A048651, A098844, A067080, A132019, A132026, A132033, A132037, A000217.
Sequence in context: A110750 A129808 A077649 * A200363 A123870 A085049
Adjacent sequences: A132022 A132023 A132024 * A132026 A132027 A132028
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KEYWORD
| nonn,cons
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AUTHOR
| Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 14 2007
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