A132323 - OEIS

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A132323

Decimal expansion of product{k>=0, 1+1/3^k)}.

3, 1, 2, 9, 8, 6, 8, 0, 3, 7, 1, 3, 4, 0, 2, 3, 0, 7, 5, 8, 7, 7, 6, 9, 8, 2, 1, 3, 4, 5, 7, 6, 7, 0, 8, 3, 3, 1, 3, 8, 8, 5, 1, 8, 3, 9, 7, 9, 0, 0, 7, 0, 0, 1, 8, 9, 9, 3, 4, 4, 2, 0, 5, 9, 8, 4, 6, 0, 4, 2, 2, 1, 4, 5, 1, 6, 1, 9, 3, 5, 3, 3, 8, 7, 8, 0, 7, 3, 2, 0, 7, 3, 5, 4, 5, 9, 2, 7, 7, 6, 3, 0, 5, 2, 0 (list; constant; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Twice the constant A132324.`
	FORMULA	`lim sup product{0<=k<=floor(log_3(n)), (1+1/floor(n/3^k))} for n-->oo.` `lim sup A132327(n)/A132027(n) for n-->oo.` `lim sup A132327(n)/n^((1+log_3(n))/2) for n-->oo.` `lim sup A132328(n)/n^((log_3(n)-1)/2) for n-->oo.` `2exp(sum{n>0, 3^(-n)sum{k\|n, -(-1)^k/k}})=2exp(sum{n>0, A000593(n)/(n3^n)}).` `lim sup A132327(n+1)/A132327(n)=3.12986803713402307587769821345767... for n-->oo.`
	EXAMPLE	`3.12986803713402307587769821345767...`
	CROSSREFS	`Cf. A081845, A100220, A132019-A132026, A132034-A132038, A132265-A132268, A132324-A132326, A132327, A132328, A000593.` `Sequence in context: A074308 A058142 A058144 * A055450 A185835 A126226` `Adjacent sequences: A132320 A132321 A132322 * A132324 A132325 A132326`
	KEYWORD	`nonn,cons`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007`

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.