id:A132324 - OEIS Search Results

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

+0
2

1, 5, 6, 4, 9, 3, 4, 0, 1, 8, 5, 6, 7, 0, 1, 1, 5, 3, 7, 9, 3, 8, 8, 4, 9, 1, 0, 6, 7, 2, 8, 8, 3, 5, 4, 1, 6, 5, 6, 9, 4, 2, 5, 9, 1, 9, 8, 9, 5, 0, 3, 5, 0, 0, 9, 4, 9, 6, 7, 2, 1, 0, 2, 9, 9, 2, 3, 0, 2, 1, 1, 0, 7, 2, 5, 8, 0, 9, 6, 7, 6, 6, 9, 3, 9, 0, 3, 6, 6, 0, 3, 6, 7, 7, 2, 9, 6, 3, 8, 8, 1, 5, 2, 6, 0 (list; cons; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Half the constant A132323.`
	FORMULA	`(1/2)lim sup product{0<=k<=floor(log_3(n)), (1+1/floor(n/3^k))} for n-->oo.` `(1/2)lim sup A132327(n)/A132027(n) for n-->oo.` `(1/2)lim sup A132327(n)/n^((1+log_3(n))/2) for n-->oo.` `(1/2)lim sup A132328(n)/n^((log_3(n)-1)/2) for n-->oo.` `exp(sum{n>0, 3^(-n)sum{k\|n, -(-1)^k/k}})=exp(sum{n>0, A000593(n)/(n3^n)}).` `(1/2)*lim sup A132327(n+1)/A132327(n)=1.56493401856701153793884910... for n-->oo.`
	EXAMPLE	`1.56493401856701153793884910...`
	CROSSREFS	`Cf. A079555, A100220, A132019-A132026, A132034-A132038, A132265-A132268, A132323-A132326, A132327, A132328, A000593.` `Sequence in context: A128632 A155591 A152945 this_sequence A021643 A021181 A082220` `Adjacent sequences: A132321 A132322 A132323 this_sequence A132325 A132326 A132327`
	KEYWORD	`nonn,cons`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Aug 20 2007`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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